Question

Find each interior and each exterior angles of a regular polygon having $30$ sides.

Answer 1

The number of sides $\left(n\right)=30$
Let measure of each interior angle of a regular polygon with ${}^{\prime }{n}^{\prime }$ sides be $p$
$p=\frac{(2n-4)\times {90}^{\circ }}{n}=\frac{(60-4)\times {90}^{\circ }}{30}=56\times 3$
$={168}^{\circ }$
Each exterior angle $=\frac{{360}^{\circ }}{n}=\frac{{360}^{\circ }}{30}={12}^{\circ }$