Question 15

Out of the four options, only one is correct. Write the correct answer.

The expression for the number of diagonals that we can make from one vertex of a n-sided polygon is
(a) 2n+1
(b) n-2
(c) 5n+2
(d) n-3

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Solution

Since a vertex is formed by joining two sides. Diagonal is line segment joinging the two opposite vertex. So, the number of diagonal formed by one vertex = n - 3 (minus three because two points adjacent to it and the one itself is excluded).

Hence option (d) is correct.

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