Find the measure of each interior angle of a regular polygon having

For a regular polygon with n s

Each interior angle $=180-\{$ Each exterior angle $\}=180-\left(\frac{360}{\mathrm{n}}\right)$

(i) For a polygon with 10 sides:

Each exterior angle $=\frac{360}{10}=36^{\circ}$

$\Rightarrow$ Each interior angle $=180-36=144^{\circ}$

(ii) For a polygon with 15 sides:

Each exterior angle $=\frac{360}{15}=24^{\circ}$

$\Rightarrow$ Each interior angle $=180-24=156^{\circ}$