# What is the sum of interior angles in a 22-gon?

Aug 2, 2017

${3600}^{\circ}$

#### Explanation:

$\text{the sum of the interior angles of a polygon of n sides is}$

$\text{sum } = {180}^{\circ} \left(n - 2\right)$

$\text{here } n = 22$

$\Rightarrow \text{sum of interior angles } = {180}^{\circ} \times 20 = {3600}^{\circ}$