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How to find the number of diagonals of a polygon?
The number of diagonals in the polygon :
A Diagonal is a line segment that connects the opposite corners of a polygon through its vertex.
Number of Diagonals $= \frac{n(n-3)}{2}$, where n is the number of sides of the polygon.
For example:
Calculate the number of diagonals of a pentagon.
Number of sides of pentagon $= 5$
So, Number of Diagonals $= \frac{n(n-3)}{2}$
$ = \frac{5(5 - 3)}{2}$
$ = \frac{5(2)}{2}$
$ = 5$.
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