Question

How many sides does a regular polygon have if each of its interior angles is $165\degree$?

Answer 1

Measure of each interior angle = $165\degree$
Measure of each exterior angle = $180\degree - 165\degree = 15\degree$
The sum of all exterior angles of any polygon is $360\degree$
Thus, number of sides of the polygon
= $\frac{360\degree}{15\degree}=24$