# One exterior angle of a regular polygon measures 40. What is the sum of the polygon's interior angle measures? Please show working.

##### 1 Answer
May 3, 2018

${1260}^{o}$

#### Explanation:

if one exterior angle $= {40}^{0}$ this gives us the following information

number of sides $= \frac{360}{40} = 9 \text{ }$sides

one interior angles $= 180 - 40 = {140}^{0}$

so the sum of interior angles$= 9 \times 140$

$= {1260}^{0}$