Question

using diagonals from a common vertex, how many triangles could be formed from the polygon pictured.

Explanation:

Step1: Recall the formula

The number of triangles formed by drawing diagonals from a single - vertex of an $n$-sided polygon is $n - 2$.

Step2: Identify the number of sides of the polygon

The given polygon is a hexagon, so $n=6$.

Step3: Calculate the number of triangles

Substitute $n = 6$ into the formula $n - 2$. We get $6-2=4$.

Answer:

4