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If each exterior angle of a regular n-gon is $9$ how many sides must the polygon have

 Sep 21, 2021
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If each exterior angle of a regular n-gon is $9$ how many sides must the polygon have    

 

By theorem, the sum of all the exterior angles of any polygon is 360o.    

 

Since one of the angles is 9o, there must be 40 of them to come to 360o.    

 

There are the same number of sides as angles, so there must be 40 sides.    

.    

 Apr 25, 2025

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