Question

What is the sum of the measures of the interior angles of a regular polygon where a single exterior angle measures 36°?

Answer 1

If the exterior angle is 36 degrees, then interior angle is 180 - 36 = 164 degrees.

Answer 2

First find the number of sides.

\( \color{Black}{\Rightarrow \Large {180(n - 2) \over n} = 164}\)

Answer 3

When you find the value of n, substitute that into \(180(n - 2)\) to get the sum.

Answer 4

Sum of interior angles*

Answer 5

yes thats correct