Question

Find the measure of each exterior angle of a regular polygons having $20$ sides.

Answer 1

We know that the measure of exterior angle is ${\left(\frac{360}{n}\right)}^{\circ }$ where $n$ is the number of sides of the regular polygon.

Here, it is given that the number of sides $n=20$, therefore,

$\begin{array}{cc}{\left(\frac{360}{n}\right)}^{\circ }& ={\left(\frac{360}{20}\right)}^{\circ }\\ & ={18}^{\circ }\end{array}$

Hence, the measure of each exterior angle is ${18}^{\circ }$.