# An exterior angle of a regular polygon is 15 degrees. How many sides does the polygon have?

Dec 21, 2015

$24$

#### Explanation:

In a regular polygon with number of sides $n$, the measure of an exterior angle can be calculated through the formula

(360˚)/n

Thus, if

$\frac{360}{n} = 15$

Solve for $n$ to find that:

$15 n = 360$

$n = 24$

The polygon has $24$ sides.