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

Algebra ->  Polygons -> SOLUTION: Two interior angles of a polygon are 88˚ and 99˚, and each of the rest equals to 163˚. Find the number of sides of the polygon.      Log On


   

Question 1160206: Two interior angles of a polygon are 88˚ and 99˚, and each of the rest equals to 163˚. Find the number of sides of the polygon.
Answer by ikleyn(52776) About Me  (Show Source):
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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.