Question

How many
side does an regular
Polygon have, if the measure of an
exterior angle is 24°​

Answer 1

Answer:

15 sides

Explaination:

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. vertices and 11 sides.

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Answer 2

Answer: 15 sides

How to solve it:

Formulae of finding the exterior angle on a regular polygon = 360°/n

(Where n is the number of sides)

Let the number of sides be n

360°/n = 24°

n = 360°/24°

n = 15

The regular polygon has 15 sides.

Let's check if we are right. Such as:

360°/15 = 24°

OR

24° + 24° + 24° + 24° + 24° + 24° + 24° + 24° + 24° + 24° + 24° + 24° + 24° + 24° + 24° = 360°

So, the answer is correct.

Keep in mind that the sum of all the sides of a regular polygon is 360°

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