Question

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. $n-3$

Answer 1

The correct option is D

$n-3$

Because a vertex is formed by connecting two sides together. A diagonal is a line segment that connects two opposite vertex points. There are n vertices, and from each vertex, you can draw $n-3$ diagonals.
Hence, the total number of diagonals that can be drawn is $(n-3).$.