# How many diagonals can be drawn from each vertex of a decagon

The lines between vertices of the polygon are called diagonal.

## Answer: Total possible diagonals in a decagon is equal to 35.

Go through the solution to understand better.

**Explanation:**

The lines between vertices of the polygon are called diagonal.

Decagon = 10 sides polygon

Let's assume you are talking about a Decagon with all of its vertices going outward (is all of its angles are less than 180°)

So as it has 10 vertices, so, each vertex can start an arrow towards the remaining 9 vertices. But 2 of those won't be called diagonals as those are sides. So each of the 10 vertices will 9–2=7 diagonals. Thus 10×7=70 diagonals

But wait, 1 diagonal is between two vertices, so 1 diagonal has been counted twice in this calculation, so the actual diagonal count is: 70/2=35