Question

if an exterior angle of a regular polygon is equal to its and interior angle find the number of sides

Answer 1

Given, Exterior angle of a 'regular polygon' is equal to its interior angle.

Let us assume, each exterior angle = X

Hence,Interior angle = Exterior angle = X

Interior angle  = 180 - Exterior angle

X = 180 - X

X + X = 180

2X = 180

X = 180/2 = 90 degree

Now, Number of sides = 360/Exterior angle = 360/90 = 4

Hence, answer = 4 sides