Question

The exterior angle of a regular polygon is one-fifth of its interior angle. How many sides does the polygon have? please answer it step by step​

Answer 1

10

Explanation:

We know that interior plus exterior angles add to 180.

1/5 of 180 = 36

36 degrees = exterior angles

180-36=interior angles

180-36=144

To find the number of sides of a polygon you have to do 360/exterior angles

360/36=10