SOLUTION: A polygon has n sides.If one of its interior angles is 84� and the other interior angles are each equal to 156�,find the value of n.

Question 598042: A polygon has n sides.If one of its interior angles is 84� and the other interior angles are each equal to 156�,find the value of n.
Answer by Edwin McCravy(20060) (Show Source): You can put this solution on YOUR website!

Sum of the n interior angles = 180�(n-2) 

Sum of all but 1 of the n interior angles = 156�(n-1)

Sum of all n interior angles = 156�(n-1) + 84� 
  
So

180�(n-2) = 156�(n-1) + 84�

Solve that and get 12 sides

Edwin

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