Question

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

Answer 1

Answer:

15

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:

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Answer 2

Given ,

The measure of each exterior angle of polygon is 24°

Let ,

• The number of sides of polygon be " n "

We know that , the sum of exterior angles of any polygon is 360°

Thus ,

n × 24 = 360

n = 360/24

n = 15

Therefore , the number of sides of polygon is 15

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