Find the number of sides of a regular
polygon if each of its interior angle is
3π/4
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Answered by
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Answer:
no. of sides = 8
Step-by-step explanation:
each interior angle = 3/ 4
= 3 × 180°/4
= 3 × 45°
= 135°
sum of all interior angles = 135°n [ n = no. of sides ]
135° n = (n-2) × 180°
135° n = 180° n - 360°
135°n - 180° n = -360°
- 45° n = - 360°
n = -360° / - 45°
n = 8
∴ no. of sides = 8
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