Question

how many side does polygan have if the measurement of an exterior angle is 24degree​

Answer 1

Answer:

The polygon has  15  sides.

Step-by-step explanation:

The formula for finding the measure of an exterior angle of a regular polygon is

$\frac{360}{n} ,$ where  n  is the number of sides of the polygon. So,

$24 = \frac{360}{n}$

$24n = n(\frac{360}{n} )$

24 n  = 360

$\frac{24n}{24} = \frac{360}{24}$

n = 15

So the polygon has  15  sides.