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n= number of sides

what is the number of sides of a regular polygon when the interior angle is 176°?

 

 180(n-2/n)

=176

Guest Sep 17, 2017
edited by Guest  Sep 17, 2017
edited by Guest  Sep 17, 2017
edited by Guest  Sep 17, 2017
 #1
avatar+88980 
+1

(n - 2) 180 / n  = 176

 

Multiply both sides by n

 

(n - 2)180  = 176n

 

Simplify

 

180n - 360  = 176n

 

Add 360 to both sides, subtract176n from both sides

 

4n  = 360     

 

Divide both sides by 4

 

n  = 90    [sides]

 

 

cool cool cool

CPhill  Sep 17, 2017
 #2
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0

thatnk you so much

Guest Sep 17, 2017

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