SOLUTION: Find the sum of the measures of the angles of a polygon which has 14 diagonals.

Question 887614: Find the sum of the measures of the angles of a polygon which has 14 diagonals.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find the sum of the measures of the angles of a polygon which has 14 diagonals. ---------
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# of sides = ?
nC2 - n = 14
(n(n-1))/2 - n = 14
n^2-n - 2n = 28
n^2 - 3n = 28
n = 7 (# of sides)
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Sum of angles = (n-2)180 = 5*180 = 900 degrees
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Cheers,
Stan H.
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