find the number of diagonals of polygon with 12 sides
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Step-by-step explanation:
A polygon of 12 sides has 12 vertices . Now by joining any two vertices of the polygon , we get a line, which is either a side or a diagonal of the polygon. But total no. of lines = C(12, 2) = 12!/2! 10! = 66 . Hence the required no. of diagonals = 66 - 12 = 54
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