SOLUTION: Find the number of sides of a polygon if the differences between any two consecutive interior angles of the polygon is 5(degree) and the smallest angle is 120(degree).
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Question 132270: Find the number of sides of a polygon if the differences between any two consecutive interior angles of the polygon is 5(degree) and the smallest angle is 120(degree).
Answer by nycsharkman(136) (Show Source): You can put this solution on YOUR website!
180(n-2) = n/2( 120 + 120 + 5(n-1))
If you simplify, you get
5n^2 -125n +720 =0
n^2 -25n +144 =0
(n -16)(n-9) =0
n =16 or n =9
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