SOLUTION: A convex polygon is a polygon whose interior angles are between 0 and 180. The number of diagonals D in a convex polygon with n sides is given by the formula D=1/2n (n-3). Determin

Question 1033105: A convex polygon is a polygon whose interior angles are between 0 and 180. The number of diagonals D in a convex polygon with n sides is given by the formula D=1/2n (n-3). Determine the number of sides n in a convex polygon that has 27 diagonals by solving the equation 27=1/2n(n-3)
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
==> ==>
==> ==> (n-9)(n+6) = 0 ==> n = 9. (n = -6 is not acceptable.)
Therefore the convex polygon has 9 sides.
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