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How many sides does a polygon have when it has 90 diagonals explaining your answer?
Updated: 8/21/2019
Let the sides be n and use the formula for the diagonals of a polygon:-
If: 0.5*(n^2 -3n) = 90
Then: n^2 -3n -180 = 0
Solving the above quadratic equation: n = -12 or n = 15
Therefore the polygon has 15 sides
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