Question

Find the measure of each exterior angle of a regular pentagon, hexagon, heptagon, polygon of 15 sides.

Answer 1

The measure of each exterior angle of a regular polygon $=\frac{{360}^o}{n}$

$\Rightarrow$ The measure of each exterior angle of a regular pentagon $=\frac{{360}^o}{5}={72}^o$

$\Rightarrow$ The measure of each exterior angle of a regular hexagon $=\frac{{360}^o}{6}={60}^o$

$\Rightarrow$ The measure of each exterior angle of a regular heptagon $=\frac{{360}^o}{7}={51.43}^o$

$\Rightarrow$ The measure of each exterior angle of a regular polygon of $15$ sides $=\frac{{360}^o}{15}={24}^o$