The number of diagonals is n(n-1)/2 - n
substitute n=35
35(34)/2 - 35 = 560
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There are 90 diagonals in a 15-sided polygon.
It has 40 diagonals.Improved Answer:-Using the formula for diagonals of a polygon: 0.5*(442-132) = 902 diagonals
it has 19 sides (:
A polygon with n sides has n*(n - 3)/2 diagonals. So n = 23 gives 23*20/10 = 230 diagonals
The number of triangles formed by the diagonals of a 21 sided polygon is C(21,3) = 21x20x19/3x2x1 = 1,330.