# Each exterior angle of a regular polygon is 18 degrees. How many sides does the polygon have?

##### 1 Answer

Jan 17, 2016

#### Explanation:

For a regular polygon with

#"exterior angle"=(360˚)/n#

Thus, in this scenario,

#18˚=(360˚)/n#

Solve for

#n(18˚)=360˚#

#n=(360˚)/(18˚)=20#

The polygon has