SOLUTION: a polygon has n side. one of its interior angles is 126 degrees while other angles each equal to 162 degrees, find the value of n.

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Question 466784: a polygon has n side. one of its interior angles is 126 degrees while other angles each equal to 162 degrees, find the value of n.
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
126 + (s-1)*162 = (s-2)*180 s = # of sides and angles
7 + 9*(s-1) = 10*(s-2)
7 + 9s-9 = 10s - 20
-2 = s - 20
s = 18 sides
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Sum of interior angles = 16*180 = 2880 degs
126 + 17*162 = 2880 so it's correct