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`        Determine the number of sides of the convex polygon if largest interior angle is 172 degree and common difference is 4 degree `
one year ago

## Answers : (1)

Arun
23739 Points
```							he exterior angles also must form an arithmetic progression, with 8° the least angle, and common difference 4°. Let n be the number of sides. The some of the n exterior angles is 360°. nth exterior angle = (n + 1)4° (n/2)[2(8°) + (n - 1)(4°)] = 360° (n/2)[2(8) + (n - 1)(4)] = 360 (n/2)(4n + 12) = 360 2n² + 6n - 360 = 0 n² + 3n - 180 = 0 (n + 15)(n - 12) = 0 Reject the negative solution. n = 12 The polygon has twelve side
```
one year ago
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