# There are 6 diagonals that can be drawn from one vertex of an octagon. True or false?

Octagons are polygons that have 8 sides.

## Answer: It is false that there are 6 diagonals that can be drawn from one vertex of an octagon. Only 5 diagonals can be drawn from one vertex of an octagon.

Let's understand in detail.

**Explanation:**

To find the number of diagonals a polygon can have, we use the formula: ^{n}C_{2} - n

Hence, in the case of an octagon, n = 8, and from the above formula, we see that ^{8}C_{2} - 8 = 20 diagonals can be drawn.

Now, we also know that a diagonal is shared by two points in an octagon.

Hence, to find the number of diagonals from each vertex, we divide the number of diagonal by n/2;

In this case, we get 20 / (8/2) = 5.