SOLUTION: Solve the problem. If a polygon, of n sides has 1/2n(n - 3) diagonals, how many sides will a polygon with 779 diagonals have?

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Question 1048508: Solve the problem.
If a polygon, of n sides has 1/2n(n - 3) diagonals, how many sides will a polygon with 779 diagonals have?

Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!



Multiply through by 2:









; 

;   

A polygon cannot have a negative number of sides, so

n = 41.

Edwin


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