Question

Find the measure of each interior angle of the following regular polygons.

A polygon with $15$ sides.

Answer 1

Let's find the measure of each interior angle of the given polygon.

Here, the polygon has $15$ sides.

Measure of each interior angle of any polygon having sides $n$ is $\frac{(n-2)\times 180°}{n}$

$$\begin{gathered} \Rightarrow \frac{(15-2)\times 180°}{15} \\ \Rightarrow \frac{13\times 180°}{15} \\ \Rightarrow 13\times 12=156° \end{gathered}$$

Hence, measure of each interior angle is $156°$