a convex polygon
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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.
That polygon is called a "triangle". It has no diagonals.
An 11 sided polygon has 44 diagonals.
A four-sided polygon has two diagonals.
The five sided Polygon has 5 diagonals