Question

The exterior angle of a regular polygon is one-fifth of its interior angle.

How many sides the polygon has?​

Answer 1

Answer:

Let interior angle of polygon be x

Then exterior angle is x/5

so , x+x/5=180⁰=6x/5

x= 150⁰

Exterior Angle is 30⁰

Sum of exterior angles of a polygon is 360⁰

30 x n = 360, n is number of sides of polygon

n=12

hope this helps.!!