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0.5*(172-51) = 119 diagonals
There is no such polygon that has 95 diagonals because a 15 sided polygon has 90 diagonals and a 16 sided polygon has 104 diagonals.
That polygon is called a "triangle". It has no diagonals.
There are 119 diagonals.
An 11 sided polygon has 44 diagonals.