Question

Find each exterior angle of a regular polygon of $15$ sides.

• A. ${24}^{\circ }$
• B. ${31}^{\circ }$
• C. ${15}^{\circ }$
• D. ${36}^{\circ }$

Answer 1

The correct option is A ${24}^{\circ }$

$\text{Each exterior angle of regular polygon of n sides is given by}\frac{360}{n}$ deg.
$\text{Here n=15}$
$\therefore \text{each exterior angle}={\frac{360}{15}}^0={24}^0$