Question

angle.
1. An exterior angle of a regular polygon is half of its interior angle. Find the number of
sides of the polygon.​

Answer 1

Answer:

The number of sides of the polygon is 4.

Step-by-step explanation:

In a regular n sided polygon,

Single interior angle = (2n-4) x 90/n

Single exterior angle = 360/n

Given: Exterior angle of a regular polygon is equal to its interior angle

(2n-4) x 90/n = 360/n

(2n-4) x 90 = 360

(2n-4) = 360/90

(2n-4) = 4

n=4,

Therefore, it is a regular polygon of 4 sides.

Ans: The polygon is a square.