Question

How many sides does a regular polygon have if the measure of an exterior angle is 24 degree?​

Answer 1

Answer:

15

Step-by-step explanation:

Explanation:

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

360n, where n is the number of sides of the polygon. So,

24=360n

24(n)=n(360n)

24n=360

24n24=36024

n=15

So the polygon has 15 sides.

Answer 2

Answer:

15 sides

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.