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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.
The five sided Polygon has 5 diagonals
A 5-sided polygon is called a pentagon. You can draw up to 5 diagonals in a pentagon.
That polygon is called a "triangle". It has no diagonals.
It is a dodecagon which has 12 sides Check: 0.5*(144-36) = 54 diagonals