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A regular polygon has exterior angles each measuring 15 degrees. How many sides does the polygon have?

 Nov 7, 2019
 #1
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All of the exterior angles of a polygon sum to 360

 

360/15 = 24 sides

 Nov 7, 2019
 #2
avatar+212 
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The sum of exterior angles in a n-sided polygon will always remain at a consistent 360 degress

 

To find the n, the number of sides, we have to divide the total angle measure by the measure of each exterior angle

 

360 / 15 = 24 

The polygon has 24 sides.

 Nov 7, 2019

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