# A regular polygon has 11 sides. Find the size of each interior angle?

Jul 30, 2018

$\approx {147.27}^{\circ}$

#### Explanation:

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

•color(white)(x)"sum "=180^@(n-2)

$\text{here } n = 11$

$\text{sum } = {180}^{\circ} \times 9 = {1620}^{\circ}$

$\text{each interior angle } = {1620}^{\circ} / 11 \approx {147.27}^{\circ}$