Question

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

Answer 1

Answer:

360/24 = 15

Step-by-step explanation:

it's formula

try to understand how it is

Answer 2

Given :-

Measure of an exterior angle = 24°​

To Find :-

The number of the sides of a polygon.

Analysis :-

Measure of an exterior angle = 360/ Number of sides

Now substitute the values accordingly and find the number of sides.

Solution :-

Each exterior angle = sum of exterior angles/Number of angles

Given that,

Measure of an exterior angle = 24°​

Substituting their values,

24°= 360/ Number of sides

Number of sides = 360/24

Sides = 15

Therefore, there are 15 sides in the polygon.