A normal convex polygon cannot have 15 diagonals.
If it has n sides, it has n*(n-3)/2 diagonals and this is equal to 15 if n = 7.18. However, it is not possible for a polygon to have a fractional side.
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(8*15)-16=104 diagonals in a 16 sided polygon.
It is: 8-2 = 6 triangles
A polygon with 6 sides is a hexagon and a polygon with 8 sides is an octagon
If the polygon has n sides, the sum of its interior angles is 180*(n - 2) degrees. [Whether the polygon is regular or not is irrelevant] So, 180*(n - 2) = 1080 (n - 2) = 6 n = 8 Then number of diagonals = n*(n - 3)/2 = 8*5/2 = 20
An 8-sided polygon is called an octagon.