# What is the formula for finding the sum of all exterior angles?

Jul 17, 2018

color(indigo)("Sum of all exterior angles of a polygon " n * theta = 2 pi^c = 360^@

#### Explanation:

1. The sum of the measures of the interior angles of a polygon with n sides is (n – 2)180.
2. The measure of each interior angle of an equi-angular n-gon is.

3. If you count one exterior angle at each vertex, the sum of the measures of the exterior angles of a polygon is always 360°.

color(indigo)("Sum of all exterior angles of a polygon " n * theta = 2 pi^c = 360^@