images images listlengths 1 1 | problem stringlengths 317 568 | answer float64 0.33 360 | proID int64 4 9.67k |
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<image>The Caption of this geometric diagram is:As shown in the figure, put the right angle vertex of the triangle on one side of the ruler, if ∠1 = 65.0, then the degree of ∠2 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 25 | 106 | |
<image>The Caption of this geometric diagram is:As shown in the figure, the straight line AB ∥ CD, if ∠1 = 70.0, then the degree of ∠BOF is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 110 | 109 | |
<image>The Caption of this geometric diagram is:As shown in the figure, in △ABC, AD is the angle bisector of △ABC, BE is the height of △ABC, ∠C = 70.0, ∠ABC = 48.0, then ∠3 is () Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 59 | 138 | |
<image>The Caption of this geometric diagram is:Place a pair of right triangular plates as shown in the figure, so that a leg of the triangular plate with angle 30.0 and a leg of the triangular plate with angle 45.0 coincide, then the degree of ∠1 is () Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 75 | 140 | |
<image>The Caption of this geometric diagram is:As shown in the figure, AB ∥ CD, EF ⊥ AB is in E, EF crosses CD in F, it is known that ∠1 = 50.0, then ∠2 = () Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 40 | 153 | |
<image>The Caption of this geometric diagram is:As shown in the figure, the straight line a ∥ b, the right triangle is placed as shown, ∠DCB = 90.0, if ∠2 + ∠B = 70.0, then the degree of ∠1 is () Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 20 | 157 | |
<image>The Caption of this geometric diagram is:As shown in the figure, the straight line a ∥ b, the radial line DC intersects the straight line a at point C, and passes through point D as DE ⊥ b at point E. It is known that ∠1 = 25.0, then the degree of ∠2 is () Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 115 | 161 | |
<image>The Caption of this geometric diagram is:As shown in the figure, the straight line a ∥ b, ∠1 = 75.0, ∠2 = 35.0, then the degree of ∠3 is () Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 40 | 162 | |
<image>The Caption of this geometric diagram is:As shown in the figure, place the two vertices of a right triangle plate with 30.0 angles on a set of opposite sides of the rectangular ruler. If ∠2 = 60.0, then the degree of ∠1 is () Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 30 | 174 | |
<image>The Caption of this geometric diagram is:Place an isosceles right triangle board and a ruler as shown in the figure, if ∠1 = 60.0, then the degree of ∠2 is () Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 75 | 175 | |
<image>The Caption of this geometric diagram is:As shown in the figure, the straight line a ∥ b, ∠1 = 60.0, ∠2 = 40.0, then ∠3 is equal to () Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 80 | 176 | |
<image>The Caption of this geometric diagram is:As shown in the figure, in △ABC, ∠A = 90.0, point D is on the edge of AC, DE // BC, if ∠1 = 155.0, then the degree of ∠B is () Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 65 | 183 | |
<image>The Caption of this geometric diagram is:As shown in the figure, given that AB ∥ CD, the straight line EF intersects AB and CD at points E and F respectively, and EG bisects ∠BEF intersects CD at point G. If ∠1 = 50.0, then the degree of ∠2 is () Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 65 | 193 | |
<image>The Caption of this geometric diagram is:As shown in the figure, the straight line AB ∥ CD, the straight line EF intersects AB and CD at points E, F, and the bisector of ∠BEF intersects at point N. If ∠1 = 63.0, then ∠2 = ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 54 | 209 | |
<image>The Caption of this geometric diagram is:As shown in the figure, ∠1 +∠B = 180.0, ∠2 = 45.0, then the degree of ∠D is ().Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 45 | 215 | |
<image>The Caption of this geometric diagram is:As shown in the figure, AB ∥ CD, ∠A = 50.0, then the size of ∠1 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 130 | 219 | |
<image>The Caption of this geometric diagram is:As shown in the figure, the straight line a ∥ b, ∠1 = 108.0, then the degree of ∠2 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 72 | 220 | |
<image>The Caption of this geometric diagram is:As shown in the figure, AB ⊥ BC, AE bisects ∠BAD crosses BC at point E, AE ⊥ DE, ∠1 + ∠2 = 90.0, M and N are points on the extended lines of BA and CD respectively, and the bisectors of ∠EAM and ∠EDN intersect at point F, and the degree of ∠F is () Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 135 | 227 | |
<image>The Caption of this geometric diagram is:As shown in the figure, the straight lines a and b intersect with the straight lines c and d. It is known that ∠1 = ∠2, ∠3 = 110.0, then the degree of ∠4 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 70 | 230 | |
<image>The Caption of this geometric diagram is:As shown in the figure, in the isosceles triangle ABC, AB = AC, BD bisects ∠ABC, ∠A = 36.0, then the degree of ∠1 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 72 | 237 | |
<image>The Caption of this geometric diagram is:As shown in the figure, AB ∥ CD, point E is on the line segment BC, if ∠1 = 40.0, ∠2 = 30.0, then the degree of ∠3 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 70 | 243 | |
<image>The Caption of this geometric diagram is:As shown in the figure, it is known that the straight line AB ∥ CD, the bisector EF of ∠BEG intersects CD at point F, if ∠1 = 42.0, then ∠2 is equal to ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 159 | 255 | |
<image>The Caption of this geometric diagram is:As shown in the figure, the line m ∥ n, put a vertex C of an acute angle of the triangle plate ABC with angle 45.0 on the line n, then ∠1 + ∠2 is equal to ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 90 | 259 | |
<image>The Caption of this geometric diagram is:As shown in the figure, given that AB ∥ CD, EF bisects ∠CEG, ∠1 = 80.0, then the degree of ∠2 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 50 | 270 | |
<image>The Caption of this geometric diagram is:As shown in the figure, point O is a point in △ABC, ∠A = 80.0, ∠1 = 15.0, ∠2 = 40.0, then ∠BOC is equal to ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 135 | 278 | |
<image>The Caption of this geometric diagram is:Fold a paper tape with two parallel edges as shown in the figure, if ∠1 = 62.0, then ∠2 is equal to ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 56 | 29 | |
<image>The Caption of this geometric diagram is:As shown in the figure, given that AD = AE, BE = CD, ∠1 = ∠2 = 110.0, ∠BAC = 80.0, then the degree of ∠CAE is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 20 | 293 | |
<image>The Caption of this geometric diagram is:As shown in the figure, the straight line a ∥ b, and a right-angled triangular plate ABC (∠A = 60.0) with 60.0 angles are placed as shown in the figure. If ∠1 = 55.0, then the degree of ∠2 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 115 | 297 | |
<image>The Caption of this geometric diagram is:As shown in the figure, a rectangular piece of paper ABCD is folded along EF, and points D and C fall at the positions of D′ and C′ respectively. If ∠1 = 56.0, then the degree of ∠EFB is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 62 | 304 | |
<image>The Caption of this geometric diagram is:As shown in the figure, place the ruler and the right triangular plate as shown in the figure. It is known that ∠1 = 35.0, then the size of ∠2 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 55 | 316 | |
<image>The Caption of this geometric diagram is:As shown in the figure, the straight lines a and b are intercepted by the straight line c, and a // b, if ∠1 = 55.0, then ∠2 is equal to ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 55 | 321 | |
<image>The Caption of this geometric diagram is:As shown in the figure, the straight line a ∥ b, the straight line c intersects the straight lines a and b, if ∠1 = 56.0, then ∠2 is equal to ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 56 | 336 | |
<image>The Caption of this geometric diagram is:As shown in the figure, the straight line a ∥ b, ∠1 = 108.0, then the degree of ∠2 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 72 | 338 | |
<image>The Caption of this geometric diagram is:As shown in the figure, given the straight line a ∥ b, ∠1 = 100.0, then ∠2 is equal to ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 80 | 340 | |
<image>The Caption of this geometric diagram is:As shown in the figure, given the straight line AB ∥ CD, the bisector EF of ∠GEB intersects CD at point F, ∠1 = 42.0, then ∠2 is equal to ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 159 | 342 | |
<image>The Caption of this geometric diagram is:As shown in the figure, the vertices A and C of the rectangle ABCD are on the straight lines a and b respectively, and a ∥ b, ∠1 = 60.0, then the degree of ∠2 is () Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 60 | 344 | |
<image>The Caption of this geometric diagram is:As shown in the figure, place the vertex of right angle of a right triangle plate on one side of the ruler. If ∠1 = 50.0, then the degree of ∠2 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 40 | 346 | |
<image>The Caption of this geometric diagram is:As shown in the figure, the straight line a ∥ b, the straight line l and a and b intersect at two points A and B respectively, and the perpendicular to the straight line l through point A intersects the straight line b at point C. If ∠1 = 58.0, then the degree of ∠2 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 32 | 347 | |
<image>The Caption of this geometric diagram is:As shown in the figure, the straight lines a and b are intercepted by the straight line c. If a ∥ b, ∠1 = 110.0, then ∠2 is equal to ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 70 | 353 | |
<image>The Caption of this geometric diagram is:As shown in the figure, the straight line a ∥ b, put the vertex of right angle C of the triangle plate ABC with 30.0 angle on the straight line a, if ∠1 = 65.0, then the degree of ∠2 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 35 | 360 | |
<image>The Caption of this geometric diagram is:Place a pair of right-angled triangle plates ABC (including 30.0, 60.0 angles) and CDE (including 45.0, 45.0 angles) as shown in the figure, so that the vertices of right angles C coincide, if DE ∥ BC, then the degree of ∠1 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 105 | 366 | |
<image>The Caption of this geometric diagram is:As shown in the figure, AB ∥ CD, EC ⊥ CD in C, CF intersects AB at B, it is known that ∠2 = 29.0, then the degree of ∠1 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 61 | 372 | |
<image>The Caption of this geometric diagram is:As shown in the figure, a ∥ b, point B is on the straight line a, AB ⊥ BC, if ∠1 = 38.0, then the degree of ∠2 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 52 | 374 | |
<image>The Caption of this geometric diagram is:As shown in the figure, the straight line a ∥ b, if ∠1 = 40.0, ∠2 = 55.0, then ∠3 is equal to ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 95 | 375 | |
<image>The Caption of this geometric diagram is:As shown in the figure, in the quadrilateral ABDC, △EDC is obtained by rotating △ABC around vertex C by 40.0, vertex A happens to turn to the position of point E on AB, then ∠1 + ∠2 = ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 110 | 389 | |
<image>The Caption of this geometric diagram is:As shown in the figure, the straight line a ⊥ the straight line c, the straight line b ⊥ the straight line c, if ∠1 = 70.0, then ∠2 = ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 70 | 4 | |
<image>The Caption of this geometric diagram is:As shown in the figure, the straight line AB ∥ CD, ∠1 = 50.0, ∠2 = 110.0, then the size of ∠E is ().Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 60 | 405 | |
<image>The Caption of this geometric diagram is:As shown in the figure, the straight line ∥ n, put the vertex of right angle C of the triangle plate ABC with 45.0 angle on the straight line n, then ∠1 + ∠2 is equal to ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 45 | 406 | |
<image>The Caption of this geometric diagram is:As shown in the figure, the straight line a ∥ b, ∠1 = 120.0, then the degree of ∠2 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 60 | 424 | |
<image>The Caption of this geometric diagram is:As shown in the figure, ∠1 = 62.0, if ∥ n, then the degree of ∠2 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 62 | 426 | |
<image>The Caption of this geometric diagram is:As shown in the figure, in the quadrilateral ABCD, ∠1 = ∠2, ∠A = 60.0, then ∠ADC = ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 120 | 436 | |
<image>The Caption of this geometric diagram is:As shown in the figure, AB ∥ CD, AD = CD, ∠2 = 40.0, then the degree of ∠1 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 70 | 442 | |
<image>The Caption of this geometric diagram is:As shown in the figure, it is known that AB ∥ CD, the line MN intersects AB and CD at points M, N, and NG bisects ∠MND. If ∠1 = 70.0, then the degree of ∠2 is ().Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 35 | 444 | |
<image>The Caption of this geometric diagram is:As shown in the figure, AB ∥ CD, CD ⊥ EF, if ∠1 = 125.0, then ∠2 = ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 35 | 450 | |
<image>The Caption of this geometric diagram is:As shown in the figure, the straight line a ∥ b, ∠1 = 30.0, ∠2 = 40.0, and AD = AC, then the degree of ∠3 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 40 | 463 | |
<image>The Caption of this geometric diagram is:Place a pair of right triangular plates as shown in the figure, so that the short leg of the triangular plate with angle 30.0 and a leg of the triangular plate with angle 45.0 coincide, then the degree of ∠1 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 75 | 469 | |
<image>The Caption of this geometric diagram is:As shown in the figure, it is known that the straight lines a and b are intercepted by the straight line c. If a ∥ b, ∠1 = 110.0, ∠2 = 40.0, then ∠3 = ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 70 | 470 | |
<image>The Caption of this geometric diagram is:As shown in the figure, the straight line a ∥ b, ∠1 = 56.0, ∠2 = 37.0, then the degree of ∠3 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 87 | 477 | |
<image>The Caption of this geometric diagram is:As shown in the figure, it is known that AE ∥ BD, ∠1 = 130.0, ∠2 = 30.0, then ∠C = ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 20 | 480 | |
<image>The Caption of this geometric diagram is:As shown in the figure, place the vertex of the right angle of a right triangle plate on one side of the ruler. If ∠2 = 40.0, then the degree of ∠1 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 50 | 490 | |
<image>The Caption of this geometric diagram is:As shown in the figure, the straight line a ∥ b, ∠1 = 85.0, ∠2 = 35.0, then ∠3 = ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 50 | 494 | |
<image>The Caption of this geometric diagram is:As shown in the figure, BC ⊥ AE is at point C, CD ∥ AB, ∠B = 50.0, then ∠1 is equal to ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 40 | 498 | |
<image>The Caption of this geometric diagram is:As shown in the figure, given the straight line a ∥ b, the straight line c and a and b intersect at A and B respectively; and ∠1 = 120.0, then ∠2 = ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 120 | 5 | |
<image>The Caption of this geometric diagram is:As shown in the figure, ∠1 = 100.0, ∠C = 70.0, then the size of ∠A is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 30 | 52 | |
<image>The Caption of this geometric diagram is:As shown in the figure, put the two vertices of a right triangle containing 45.0 on the opposite sides of the ruler. If ∠1 = 20.0, then the degree of ∠2 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 25 | 61 | |
<image>The Caption of this geometric diagram is:Put a ruler and a triangle plate as shown in the figure, if ∠1 = 40.0, then the degree of ∠2 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 130 | 63 | |
<image>The Caption of this geometric diagram is:As shown in the figure, a ∥ b, ∠1 = 130.0, then the degree of ∠2 is equal to ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 130 | 78 | |
<image>The Caption of this geometric diagram is:As shown in the figure, in △ABC, ∠A = 90.0, point D is on the edge of AC, DE ∥ BC, if ∠1 = 145.0, then the degree of ∠B is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 55 | 82 | |
<image>The Caption of this geometric diagram is:As shown in the figure, the three vertices of △ABC are on the straight lines a and b, and a ∥ b. If ∠1 = 120.0, ∠2 = 80.0, then the degree of ∠3 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 40 | 84 | |
<image>The Caption of this geometric diagram is:As shown in the figure, Xiao Cong puts the two vertices of a right triangle plate containing 60.0 angles on the opposite sides of the ruler, and measured ∠1 = 23.0, then the degree of ∠2 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 37 | 91 | |
<image>The Caption of this geometric diagram is:As shown in the figure, fold the rectangle ABCD along EF, if ∠1 = 40.0, then ∠AEF = ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 110 | 1,504 | |
<image>The Caption of this geometric diagram is:As shown in the figure, the straight line a ∥ b, AC ⊥ AB, AC intersects the straight line b at point C, ∠1 = 60.0, then the degree of ∠2 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 30 | 1,534 | |
<image>The Caption of this geometric diagram is:As shown in the figure, it is known that ∠1 + ∠2 = 180.0, ∠3 = 55.0, then the degree of ∠4 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 55 | 1,535 | |
<image>The Caption of this geometric diagram is:Place a ruler and a triangular plate as shown in the figure, if ∠1 = 60.0, then ∠2 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 150 | 1,537 | |
<image>The Caption of this geometric diagram is:As shown in the figure, put the vertex of a right triangle plate containing 30.0 on one side of the ruler, if ∠1 = 48.0, then the degree of ∠2 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 102 | 1,540 | |
<image>The Caption of this geometric diagram is:As shown in the figure, given the straight line a ∥ b, ∠1 = 110.0, then ∠2 is equal to ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 70 | 1,541 | |
<image>The Caption of this geometric diagram is:As shown in the figure, put the two vertices of a right triangle plate with 45.0 angles on the opposite sides of the ruler. If ∠1 = 20.0, then ∠2 is equal to ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 25 | 1,552 | |
<image>The Caption of this geometric diagram is:As shown in the figure, put the vertex of the right angle of the triangle ruler on one side of the ruler, ∠1 = 30.0, ∠2 = 50.0, then the degree of ∠3 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 20 | 1,558 | |
<image>The Caption of this geometric diagram is:As shown in the figure, it is known that a ∥ b, ∠1 = 55.0, then the degree of ∠2 is equal to ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 125 | 1,563 | |
<image>The Caption of this geometric diagram is:As shown in the figure, the straight line a ∥ b, ∠1 = 50.0, ∠2 = 40.0, then the degree of ∠3 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 90 | 1,585 | |
<image>The Caption of this geometric diagram is:As shown in the figure, in △ABC, AB = AC, ∠A = 30.0, line a ∥ b, vertex C is on line b, line a intersects AB at point D, and intersects AC at point E, if ∠1 = 145.0, then the degree of ∠2 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 40 | 1,591 | |
<image>The Caption of this geometric diagram is:As shown in the figure, ∠1 + ∠2 = 180.0, ∠3 = 50.0, then the degree of ∠4 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 50 | 1,602 | |
<image>The Caption of this geometric diagram is:As shown in the figure, ∠1 + ∠2 = 180.0, ∠3 = 104.0, then the degree of ∠4 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 76 | 1,603 | |
<image>The Caption of this geometric diagram is:Place the ruler and the right triangle as shown in the figure. It is known that ∠1 = 30.0, then the size of ∠2 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 60 | 1,611 | |
<image>The Caption of this geometric diagram is:As shown in the figure, b ∥ c, a ⊥ b, ∠1 = 130.0, then ∠2 = ().Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 40 | 1,619 | |
<image>The Caption of this geometric diagram is:As shown in the figure, a // b, ∠1 = 70.0, then the degree of ∠2 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 70 | 1,633 | |
<image>The Caption of this geometric diagram is:As shown in the figure, ∠1 = ∠2, AC = AD, ∠C = ∠D, if AB = 3.0, BC = 2.0, AC = 2.0, then the length of DE is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 3 | 1,639 | |
<image>The Caption of this geometric diagram is:As shown in the figure, it is known that ∠1 = ∠2 = ∠3 = 62.0, then ∠4 = ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 118 | 1,642 | |
<image>The Caption of this geometric diagram is:As shown in the figure, in ⊙O, =, ∠1 = 45.0, then ∠2 = ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 45 | 1,663 | |
<image>The Caption of this geometric diagram is:As shown in the figure, in △ABC, ∠C = 90.0, AE bisects ∠BAC, BD ⊥ AE intersects the extended line of AE at D. If ∠1 = 24.0, then ∠EAB is equal to ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 24 | 1,922 | |
<image>The Caption of this geometric diagram is:As shown in the figure, l1 ∥ l2, l3 ⊥ l4, ∠1 = 42.0, then the degree of ∠2 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 48 | 1,961 | |
<image>The Caption of this geometric diagram is:As shown in the figure, AB ∥ CD, ∠1 = 110.0, ∠ECD = 70.0, the size of ∠E is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 40 | 1,980 | |
<image>The Caption of this geometric diagram is:As shown in the figure, in ⊙O, OC ∥ AB, ∠A = 20.0, then ∠1 is equal to ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 60 | 2,228 | |
<image>The Caption of this geometric diagram is:As shown in the figure, in Rt△ABC, ∠ACB = 90.0, CD ⊥ AB at point D, BC = 3.0, AC = 4.0, then the value of sin∠1 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 0.6 | 2,661 | |
<image>The Caption of this geometric diagram is:As shown in the figure, in △ABC, ∠C = 90.0, EF ∥ AB, ∠B = 39.0, then the degree of ∠1 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 51 | 3,043 | |
<image>The Caption of this geometric diagram is:As shown in the figure, in △ABC, ∠A = 50.0, points D and E are on AB and AC respectively, then the size of ∠1 + ∠2 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 230 | 3,086 | |
<image>The Caption of this geometric diagram is:As shown in the figure, it is the situation where two wooden boards A and B are placed on the ground. In the figure, ∠1 and ∠2 are the angles between the two boards A and B and the ground respectively, and ∠3 is the angle between the two boards. If ∠3 = 110.0, then ∠2 - ∠1 = ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 70 | 3,365 | |
<image>The Caption of this geometric diagram is:As shown in the figure, there are two points A and B on the outer edge of the protractor, and their readings are 70.0 and 40.0 respectively, so the degree of ∠1 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 15 | 3,423 | |
<image>The Caption of this geometric diagram is:As shown in the figure, point O is on the straight line DB, it is known that ∠1 = 15.0, ∠AOC = 90.0, then the degree of ∠2 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 105 | 4,909 | |
<image>The Caption of this geometric diagram is:As shown in the figure, AB ∥ CD, ∠A = 50.0, ∠C = 30.0, then the size of ∠1 is ()Please provide the consCDL and imgCDL based on this given geometric diagram and provide the textCDL based on its caption. You first think within <think></think> tags and then provide all CDLs within <CDL></CDL> tags. | 80 | 4,928 |
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