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प्रश्न
Find the measure of an are exterior angle of a regular pentagon and an exterior angle of a regular decagon. What is the ratio between these two angles?
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उत्तर
We know that, number of sides in pentagon is 5 and in decagon is 10.
Now, exterior angle of a regular pentagon = `360^circ/5` = 72°
Exterior angle of a regular decagon = `360^circ/10` = 36°
∴ Required ratio = `72/36` = 2 : 1
So, the ratio between these two angles is 2 : 1.
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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
d) n
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