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If a polygon of 'n' sides has 1/2 n (n -...

If a polygon of 'n' sides has `1/2 n (n - 3)` diagonals. How many sides will a polygon having 65 diagonals ? Is there a polygon with 50 diagonals?

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The correct Answer is:
`n^(2) - 3n - 100 = 0`
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