# A regular polygon has 21 sides. Find the size of each interior angle?

Apr 22, 2018

$\textcolor{b l u e}{{162.86}^{\circ}}$ 2 d.p.

#### Explanation:

The sum of the interior angles of a regular polygon are given by:

${180}^{\circ} n - {360}^{\circ}$

Where $n$ is the number of sides.

$\therefore$

$180 \left(21\right) - 360 = {3420}^{\circ}$

Each angle is therefore:

$\frac{3420}{21} = {162.86}^{\circ}$ 2 d.p.