Question

how many sides does regular polygon have if the measure of an exterior angle is 24°?​

Answer 1

Step-by-step explanation:

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

360

n

, where

n

is the number of sides of the polygon. So,

24

=

360

n

24

(

n

)

=

n

(

360

n

)

24

n

=

360

24

n

24

=

360

24

n

=

15

So the polygon has

15

sides.

Answer 2

Answer:

Since the sum of the exterior angles is always 360 degrees, if you divide 360 degrees by 24 degrees you get 15 which is the number of equal exterior angles and therefore 15 vertices and sides to the polygon.

Step-by-step explanation:

so the answer is 15