# What is the measure of an interior angle of a regular polygon with 20 sides?

Jan 2, 2016

162˚

#### Explanation:

The sum of the interior angles in a regular polygon with $n$ sides is found through the formula

180˚(n-2)

Here, $n = 20$, so the sum of the interior angles is

180˚(20-2)=180˚(18)=3240˚

To find just one angle, divide 3240˚ by $20$ since all $20$ angles are congruent.

(3240˚)/20=162˚