Question

Find the measure of each exterior angle of a regular polygon with 18 sides.

Answer 1

We know that, the measure of each exterior angle for an $\text{n-sided}$ regular polygon is ${\left(\frac{360}{n}\right)}^0$.

Here, it is given that the number of sides $n=18$.

$\therefore {\left(\frac{360}{n}\right)}^0={\left(\frac{360}{18}\right)}^0={20}^0$

Hence, the measure of each exterior angle of a regular polygon with $18$ sides is ${20}^0$.