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 shape has 4 sides ($n=4$).

Step2: Use interior angle sum formula

The formula for the sum of interior angles of an $n$-sided polygon is $(n-2)\times180^\circ$.
Substitute $n=4$:
$$(4-2)\times180^\circ = 2\times180^\circ = 360^\circ$$

Answer:

360