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The size of each exterior angle of a regular polygon is 40 degrees. 

Work out the number of sides of a regular polygon

Blowyourmind123  Mar 21, 2018

Best Answer 

 #1
avatar+615 
+2

The sum of all the exterior angles in any polygon is always 360 degrees. 

 

Because the number of sides in a polygon is equal to the number of exterior angles, I can say that the number of exterior angles is x, which also means that there are x sides. 

 

40x = 360

 

x = 9

 

This is a nine sided regular polygon!

 

I hope this helped, 

 

Supermanaccz

supermanaccz  Mar 21, 2018
 #1
avatar+615 
+2
Best Answer

The sum of all the exterior angles in any polygon is always 360 degrees. 

 

Because the number of sides in a polygon is equal to the number of exterior angles, I can say that the number of exterior angles is x, which also means that there are x sides. 

 

40x = 360

 

x = 9

 

This is a nine sided regular polygon!

 

I hope this helped, 

 

Supermanaccz

supermanaccz  Mar 21, 2018
 #2
avatar+58 
+1

Thank you that was really helpful. 

Blowyourmind123  Mar 21, 2018

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