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Given a convex polygon with 3 sides, its first 2 interior angles are: 16.0°, 80.0°. What is the measure of the remaining interior angle (in degrees)?Return only the angle as your answer.Do not give the units in your answer.
84
{"source_dataset": "simple_geometry", "source_index": 0, "n_sides": 3, "known_angles": [16.0, 80.0], "sum_of_known_angles": 96.0, "missing_angle_raw": 84.0, "missing_angle_rounded": 84, "total_interior_sum": 180, "difficulty": {"sides": [3, 6]}}
simple_geometry
A convex polygon has 3 sides. The measures of the first 2 interior angles are: 83.0°, 46.0°. Find the measure of the last interior angle.Return only the angle as your answer.Do not give the units in your answer.
51
{"source_dataset": "simple_geometry", "source_index": 1, "n_sides": 3, "known_angles": [83.0, 46.0], "sum_of_known_angles": 129.0, "missing_angle_raw": 51.0, "missing_angle_rounded": 51, "total_interior_sum": 180, "difficulty": {"sides": [3, 6]}}
simple_geometry
Given a convex polygon with 6 sides, its first 5 interior angles are: 143.0°, 148.0°, 39.0°, 55.0°, 107.0°. What is the measure of the remaining interior angle (in degrees)?Return only the angle as your answer.Do not give the units in your answer.
228
{"source_dataset": "simple_geometry", "source_index": 2, "n_sides": 6, "known_angles": [143.0, 148.0, 39.0, 55.0, 107.0], "sum_of_known_angles": 492.0, "missing_angle_raw": 228.0, "missing_angle_rounded": 228, "total_interior_sum": 720, "difficulty": {"sides": [3, 6]}}
simple_geometry
A convex polygon has 5 sides. The measures of the first 4 interior angles are: 116.0°, 134.0°, 75.0°, 30.0°. Find the measure of the last interior angle.Return only the angle as your answer.Do not give the units in your answer.
185
{"source_dataset": "simple_geometry", "source_index": 3, "n_sides": 5, "known_angles": [116.0, 134.0, 75.0, 30.0], "sum_of_known_angles": 355.0, "missing_angle_raw": 185.0, "missing_angle_rounded": 185, "total_interior_sum": 540, "difficulty": {"sides": [3, 6]}}
simple_geometry
Consider a convex 3-gon whose first 2 interior angles are: 112.0°, 20.0°. Determine the measure of the remaining angle.Return only the angle as your answer.Do not give the units in your answer.
48
{"source_dataset": "simple_geometry", "source_index": 4, "n_sides": 3, "known_angles": [112.0, 20.0], "sum_of_known_angles": 132.0, "missing_angle_raw": 48.0, "missing_angle_rounded": 48, "total_interior_sum": 180, "difficulty": {"sides": [3, 6]}}
simple_geometry
Consider a convex 5-gon whose first 4 interior angles are: 26.0°, 120.0°, 151.0°, 126.0°. Determine the measure of the remaining angle.Return only the angle as your answer.Do not give the units in your answer.
117
{"source_dataset": "simple_geometry", "source_index": 5, "n_sides": 5, "known_angles": [26.0, 120.0, 151.0, 126.0], "sum_of_known_angles": 423.0, "missing_angle_raw": 117.0, "missing_angle_rounded": 117, "total_interior_sum": 540, "difficulty": {"sides": [3, 6]}}
simple_geometry
Consider a convex 5-gon whose first 4 interior angles are: 43.0°, 152.0°, 146.0°, 87.0°. Determine the measure of the remaining angle.Return only the angle as your answer.Do not give the units in your answer.
112
{"source_dataset": "simple_geometry", "source_index": 6, "n_sides": 5, "known_angles": [43.0, 152.0, 146.0, 87.0], "sum_of_known_angles": 428.0, "missing_angle_raw": 112.0, "missing_angle_rounded": 112, "total_interior_sum": 540, "difficulty": {"sides": [3, 6]}}
simple_geometry
Consider a convex 3-gon whose first 2 interior angles are: 38.0°, 92.0°. Determine the measure of the remaining angle.Return only the angle as your answer.Do not give the units in your answer.
50
{"source_dataset": "simple_geometry", "source_index": 7, "n_sides": 3, "known_angles": [38.0, 92.0], "sum_of_known_angles": 130.0, "missing_angle_raw": 50.0, "missing_angle_rounded": 50, "total_interior_sum": 180, "difficulty": {"sides": [3, 6]}}
simple_geometry
Given a convex polygon with 6 sides, its first 5 interior angles are: 78.0°, 103.0°, 72.0°, 131.0°, 94.0°. What is the measure of the remaining interior angle (in degrees)?Return only the angle as your answer.Do not give the units in your answer.
242
{"source_dataset": "simple_geometry", "source_index": 8, "n_sides": 6, "known_angles": [78.0, 103.0, 72.0, 131.0, 94.0], "sum_of_known_angles": 478.0, "missing_angle_raw": 242.0, "missing_angle_rounded": 242, "total_interior_sum": 720, "difficulty": {"sides": [3, 6]}}
simple_geometry
Given a convex polygon with 4 sides, its first 3 interior angles are: 138.0°, 151.0°, 51.0°. What is the measure of the remaining interior angle (in degrees)?Return only the angle as your answer.Do not give the units in your answer.
20
{"source_dataset": "simple_geometry", "source_index": 9, "n_sides": 4, "known_angles": [138.0, 151.0, 51.0], "sum_of_known_angles": 340.0, "missing_angle_raw": 20.0, "missing_angle_rounded": 20, "total_interior_sum": 360, "difficulty": {"sides": [3, 6]}}
simple_geometry
A convex polygon has 5 sides. The measures of the first 4 interior angles are: 23.0°, 141.0°, 133.0°, 104.0°. Find the measure of the last interior angle.Return only the angle as your answer.Do not give the units in your answer.
139
{"source_dataset": "simple_geometry", "source_index": 10, "n_sides": 5, "known_angles": [23.0, 141.0, 133.0, 104.0], "sum_of_known_angles": 401.0, "missing_angle_raw": 139.0, "missing_angle_rounded": 139, "total_interior_sum": 540, "difficulty": {"sides": [3, 6]}}
simple_geometry
A convex polygon has 4 sides. The measures of the first 3 interior angles are: 17.0°, 19.0°, 53.0°. Find the measure of the last interior angle.Return only the angle as your answer.Do not give the units in your answer.
271
{"source_dataset": "simple_geometry", "source_index": 11, "n_sides": 4, "known_angles": [17.0, 19.0, 53.0], "sum_of_known_angles": 89.0, "missing_angle_raw": 271.0, "missing_angle_rounded": 271, "total_interior_sum": 360, "difficulty": {"sides": [3, 6]}}
simple_geometry
Consider a convex 4-gon whose first 3 interior angles are: 66.0°, 124.0°, 94.0°. Determine the measure of the remaining angle.Return only the angle as your answer.Do not give the units in your answer.
76
{"source_dataset": "simple_geometry", "source_index": 12, "n_sides": 4, "known_angles": [66.0, 124.0, 94.0], "sum_of_known_angles": 284.0, "missing_angle_raw": 76.0, "missing_angle_rounded": 76, "total_interior_sum": 360, "difficulty": {"sides": [3, 6]}}
simple_geometry
Consider a convex 3-gon whose first 2 interior angles are: 60.0°, 48.0°. Determine the measure of the remaining angle.Return only the angle as your answer.Do not give the units in your answer.
72
{"source_dataset": "simple_geometry", "source_index": 13, "n_sides": 3, "known_angles": [60.0, 48.0], "sum_of_known_angles": 108.0, "missing_angle_raw": 72.0, "missing_angle_rounded": 72, "total_interior_sum": 180, "difficulty": {"sides": [3, 6]}}
simple_geometry
Consider a convex 3-gon whose first 2 interior angles are: 34.0°, 105.0°. Determine the measure of the remaining angle.Return only the angle as your answer.Do not give the units in your answer.
41
{"source_dataset": "simple_geometry", "source_index": 14, "n_sides": 3, "known_angles": [34.0, 105.0], "sum_of_known_angles": 139.0, "missing_angle_raw": 41.0, "missing_angle_rounded": 41, "total_interior_sum": 180, "difficulty": {"sides": [3, 6]}}
simple_geometry
Given a convex polygon with 3 sides, its first 2 interior angles are: 164.0°, 14.0°. What is the measure of the remaining interior angle (in degrees)?Return only the angle as your answer.Do not give the units in your answer.
2
{"source_dataset": "simple_geometry", "source_index": 15, "n_sides": 3, "known_angles": [164.0, 14.0], "sum_of_known_angles": 178.0, "missing_angle_raw": 2.0, "missing_angle_rounded": 2, "total_interior_sum": 180, "difficulty": {"sides": [3, 6]}}
simple_geometry
Given a convex polygon with 4 sides, its first 3 interior angles are: 62.0°, 61.0°, 20.0°. What is the measure of the remaining interior angle (in degrees)?Return only the angle as your answer.Do not give the units in your answer.
217
{"source_dataset": "simple_geometry", "source_index": 16, "n_sides": 4, "known_angles": [62.0, 61.0, 20.0], "sum_of_known_angles": 143.0, "missing_angle_raw": 217.0, "missing_angle_rounded": 217, "total_interior_sum": 360, "difficulty": {"sides": [3, 6]}}
simple_geometry
Given a convex polygon with 4 sides, its first 3 interior angles are: 31.0°, 127.0°, 15.0°. What is the measure of the remaining interior angle (in degrees)?Return only the angle as your answer.Do not give the units in your answer.
187
{"source_dataset": "simple_geometry", "source_index": 17, "n_sides": 4, "known_angles": [31.0, 127.0, 15.0], "sum_of_known_angles": 173.0, "missing_angle_raw": 187.0, "missing_angle_rounded": 187, "total_interior_sum": 360, "difficulty": {"sides": [3, 6]}}
simple_geometry
Given a convex polygon with 5 sides, its first 4 interior angles are: 82.0°, 157.0°, 49.0°, 77.0°. What is the measure of the remaining interior angle (in degrees)?Return only the angle as your answer.Do not give the units in your answer.
175
{"source_dataset": "simple_geometry", "source_index": 18, "n_sides": 5, "known_angles": [82.0, 157.0, 49.0, 77.0], "sum_of_known_angles": 365.0, "missing_angle_raw": 175.0, "missing_angle_rounded": 175, "total_interior_sum": 540, "difficulty": {"sides": [3, 6]}}
simple_geometry
A convex polygon has 6 sides. The measures of the first 5 interior angles are: 56.0°, 152.0°, 65.0°, 92.0°, 85.0°. Find the measure of the last interior angle.Return only the angle as your answer.Do not give the units in your answer.
270
{"source_dataset": "simple_geometry", "source_index": 19, "n_sides": 6, "known_angles": [56.0, 152.0, 65.0, 92.0, 85.0], "sum_of_known_angles": 450.0, "missing_angle_raw": 270.0, "missing_angle_rounded": 270, "total_interior_sum": 720, "difficulty": {"sides": [3, 6]}}
simple_geometry
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