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Such a polygon does not exist.

A polygon with n sides has 0.5*n*(n-3) diagonals

If there are 10 diagonals then

0.5*n*(n-3) = 10

which requires n2 - 3n - 20 = 0 which has no integer roots.

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13y ago

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Q: How many sides a polygon has with 10 diagonals?
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