Question

The measure of each exterior angle of regular pentagon is

• A. ${60}^{\circ }$
• B. ${90}^{\circ }$
• C. ${72}^{\circ }$

Answer 1

The correct option is C ${72}^{\circ }$

The measure of each exterior angle of a regular polygon = $\frac{360°}{n}$; where $n$ is the number of sides of the polygon.
For a pentagon, $n=5$
$\Rightarrow$ exterior angle =$\frac{360°}{5}$ = ${72}^{\circ }$
Hence, the measure of each exterior angle of regular pentagon is ${72}^{\circ }$