Question

the measures of each exterior angle of a regular polygon is 24 how many sides does polygon have​

Answer 1

In the above Question , the following information is given -

The measures of each exterior angle of a regular polygon is 24° .

To find -

Find the number of sides of this polynomial .

Solution -

Here , the measures of each exterior angle of a regular polygon is 24° .

We know that , the number of sides of a polygon -

=> [ 360° / Measure of Exterior angle ]

=> [ 360° / 24 ° ]

=> [ 1 5 ]

Thus , this required polygon has 15 sides .

It is known as a pentadecagon.

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Additional Information -

In a regular polygon , the exterior angle and it's corresponding interior angle form a linear pair .

Sum of all exterior angles in a polygon is 360°

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