Question

Find the number of degrees in each exterior angle of a regular pentagon.​

Answer 1

Step: Find the measure of exterior angle ​

Let the number of sides of regular polygon be ${}^{\prime }{n}^{\prime }$ then each exterior angle is of measure $\frac{{360}^{\circ }}{n}$

For a regular pentagon,
Number of sides $\left(n\right)=5$

$\Rightarrow$ Measure of each exterior angle $=\frac{{360}^{\circ }}{5}={72}^{\circ }$

Hence, the measure of each exterior angle of a regular pentagon is ${72}^{\circ }$.