SOLUTION: One interior angle of a convex polygon is 160 degrees. The rest of the interior angles of the polygon are each 112 degrees. How many sides does the polygon have?

Question 1018924: One interior angle of a convex polygon is 160 degrees. The rest of the interior angles of the polygon are each 112 degrees. How many sides does the polygon have?
Answer by ikleyn(52818) (Show Source): You can put this solution on YOUR website!
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One interior angle of a convex polygon is 160 degrees. The rest of the interior angles of the polygon are each 112 degrees. How many sides does the polygon have?
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Your equation is 

160 + (n-1)*112 = (n-2)*180,   or

160 + 112n - 112 = 180n - 360,   or

180n - 112n = 160 - 112 + 360,   or

68n = 408,

n =  = 6.

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