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Question
What is the minimum interior angle possible for a regular polygon? Why?
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Solution
Since each angle of an equilateral triangle is 60°.
An equilateral triangle is a regular polygon
∴ Minimum interior angle is 60° for a regular polygon.
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Examine the table. (Each figure is divided into triangles and the sum of the angles deduced from that.)
| Figure | ![]() |
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| Side | 3 | 4 | 5 | 6 |
| Angle sum | 180° |
2 × 180° = (4 − 2) × 180° |
3 × 180° = (5 − 2) × 180° |
4 × 180° = (6 − 2) × 180° |
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