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.

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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) About Me  (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