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Each angle of a regular polygon is 160 degrees.  How many sides does it have?

 May 15, 2020
 #1
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Each angle of a regular polygon is 160 degrees.  How many sides does it have? 

 

Since each interior angle is 160o that means the associated exterior angle is 20o 

 

Since the total of the exterior angles of any polygon is 360o that means there are 18 of them

 

Since there are 18 angles, then there are 18 sides 

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 May 15, 2020
 #2
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If the interior angle of a regular polygon is 160 degrees, then the exterior angle is 20 degrees. The sum of all exterior angles is 360 degrees so there must be 360/20 sides = 18 sides.

 May 15, 2020

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