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n= number of sides

what is the number of sides of a regular polygon when the interior angle is 170°?

 

 180(n-2/n)

=170°

Guest Oct 2, 2017
 #1
avatar+88898 
+1

 

180 (N - 2) N  = 170        multiply both sides by N

 

180 (N - 2)   =  170N     simplify

 

180N  - 360   =  170N         subtract  170N from  both sides....add 360 to both sides

 

10N   =  360           divide both sides by 10

 

N  = 36   (sides)

 

 

cool cool cool

CPhill  Oct 2, 2017

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