Question

find the no of sides of a
regular polygon, if its
interior Angle is equal
to exterior angle​

Answer 1

Answer:

The polygon is a square

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.

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.

Hope it Helps :D