# If the measure of exterior angle of a regular polygon is #1/5# times its interior angle, how many sides does the polygon has?

##### 1 Answer

Apr 11, 2017

Polygon has **dodecagon**.

#### Explanation:

As the measure of the exterior angles of **a regular polygon** are

each exterior angle of the regular polygon too will be

Let the exterior angle be

and as their sum is always

Now as sum of exterior angles of a polygon is always

we have

Polygon has **dodecagon**.