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प्रश्न
Find the measure of each angle of a regular octagon.
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उत्तर
Number of sides (n) in octagon = 8
Now, the sum of interior angles of a regular octagon = (n – 2) × 180°
= (8 – 2) × 180°
= 6 × 180°
= 1080°
Since, the octagon is regular, measure of each angle = `1080^circ/8` = 135°
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संबंधित प्रश्न
Examine the table. (Each figure is divided into triangles and the sum of the angles deduced from that.)
| Figure |  |
 |
 |
 |
| Side | 3 | 4 | 5 | 6 |
| Angle sum | 180° |
2 × 180° = (4 − 2) × 180° |
3 × 180° = (5 − 2) × 180° |
4 × 180° = (6 − 2) × 180° |
What can you say about the angle sum of a convex polygon with number of sides?
a) 7
b) 8
c) 10
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