Question

How many sides does a regular polygon have if the measure of an exterior angle is ${24}^o$?

• A. $15$
• B. $12$
• C. $14$
• D. $16$

Answer 1

Answer: (A)

$15$

Since the number of sides of a regular polygon
$=\frac{{360}^o}{\text{Exterior angle}}$
Here, exterior angle $={24}^o$
$\therefore$ Number of sides of the given polygon
$=\frac{{360}^o}{{24}^o}=15$