Question

Each angle of a regular polygon of$12$sides is ______ .

Answer 1

As we know that the measures of each interior angles of a polygon having $n$ sides is$=\frac{(n-2)\times 180}{n}$

Now the number of sides is $=12$

$$\begin{gathered} Eachangle=\frac{(n-2)\times 180°}{n} \\ Eachangle=\frac{(12-2)\times 180°}{12} \\ n=\frac{1800}{12}=150° \end{gathered}$$
Hence, each angle of a regular polygon is $150°$.