Question

the diagram shows a convex polygon. what is the sum of the interior angle measures of this polygon?

Explanation:

Step1: Identify polygon side count

The polygon is a triangle, so $n=3$.

Step2: Apply interior angle sum formula

Use the formula for sum of interior angles: $(n-2)\times180^\circ$
Substitute $n=3$: $(3-2)\times180^\circ = 1\times180^\circ$

Answer:

$180^\circ$