Question

The expression for the number of diagonals that we can make from one vertex of a $(2n-1)$ sided polygon is _________.

• A. $(2n-1)$
• B. $(2n-3)$
• C. $(2n+4)$
• D. $(2n-4)$

Answer 1

The correct option is D $(2n-4)$

We know that the number of diagonals for a polygon of 𝑛 sides from any vertex $=n-3$

Now, the number of diagonals for a polygon of (2𝑛 – 1) sides from any vertex $=(2n-1)-3=2n-1-3=2n-4$