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Question

The number of diagonals drawn from one vertex of a polygon of n sides is


A
(n1)
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B
(n2)
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C
(n3)
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D
n
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Solution

The correct option is D: (n3)

A diagonal is a segment that connect two non-consecutive vertices in polygon.

The number of diagonal in a polygon that can be drawn from any vertex in polygon is three less than the number of sides.


Let n be the number sides in polygon.

So, the number of diagonals drawn from the vertex of polygon of n sides is (n3).

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