Question

Find the measure of each exterior angle of regular polygons with $16$ 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.

Here, it is given that the number of sides $n=16$.

$\therefore$ ${\left(\frac{360}{n}\right)}^{\circ }={\left(\frac{360}{16}\right)}^{\circ }={22.5}^{\circ }$

Hence, the measure of exterior angle is ${22.5}^{\circ }$.