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Suppose regular polygon has an exterior angle that measures 18 degrees. How many sides does this polygon have?

 Nov 5, 2021
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The sum of the measures of the exterior angles of a polygon is 360°

 

Since this polygon is regular, each exterior angle measures 18°

 

Let  n  =  the number of exterior angles  =  the number of sides of the polygon

 

So we can say:

 

18º * n  =  360º

 

n  =  360º / 18º

 

n  =  20

 Nov 6, 2021

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