Question

find the number of sides of a regular polygon if each of its interior angle is 3pie /4.​

Answer 1

Answer:

the answer is 4

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Answer 2

Answer:

The number of sides in the polygon= 8.

Step-by-step explanation:

We know that, 1 = (180/π)°,

∴ 3π/4 = (3π/4 × 180/π)

Let the no. of sides of regular polygon be n.

∴ Measure of an exterior angle= 360°/n

Since the sum of the measures of an interior angle and an exterior angle of a polygon= 180°,

135°+360°/n=180°

∴360°/n= 180°- 135°=45°

∴n=360/45= 8

Hence, the no. of the sides in the polygon= 8