look at this convex polygon.\nhow many triangles are formed by drawing all the diagonals from a single vertex?

Explanation:

Step1: Identify polygon sides

The figure is a convex pentagon, so number of sides $n=5$.

Step2: Use triangle count formula

For an $n$-sided polygon, triangles from one vertex = $n-3$. $\text{Number of triangles}=5-3=2$

Answer:

2