Question

The measures of the exterior angles of a regular pentagon and a regular hexagon are and , respectively.

Answer 1

Consider a regular polygon that has $n$ sides.

Measure of an exterior angle of the polygon
$=\frac{{360}^{\circ }}{n}$

A regular pentagon has 5 equal sides.

$⟹n=5$

$\therefore$ Measure of an exterior angle of a regular pentagon
$=\frac{{360}^{\circ }}{5}={72}^{\circ }$

A regular hexagon has 6 equal sides.

$⟹n=6$

$\therefore$ Measure of an exterior angle of a regular hexagon
$=\frac{{360}^{\circ }}{6}={60}^{\circ }$