SOLUTION: Two interior angles of a polygon are 88Ëš and 99Ëš, and each of the rest equals to 163Ëš. Find the number of sides of the polygon.

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Question 1160206: Two interior angles of a polygon are 88Ëš and 99Ëš, and each of the rest equals to 163Ëš. Find the number of sides of the polygon.
Answer by ikleyn(52776)   (Show Source): You can put this solution on YOUR website!
.

88 + 99 + (n-2)*163 = (n-2)*180


88 + 99 + 163n - 2*163 = 180n - 2*180


88 + 99 - 2*163 + 2*180 = 180n - 163n


221 = 17n


  n = 221/17 = 13.


ANSWER.  13 sides.

Solved.


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