Question

what is the sum of the interior angle measures of a convex quadrilateral?

Explanation:

Step1: Recall polygon angle sum formula

The sum of interior angles of an $n$-sided polygon is $(n-2) \times 180^\circ$.

Step2: Identify $n$ for quadrilateral

A quadrilateral has $n=4$ sides.

Step3: Calculate the sum

Substitute $n=4$ into the formula:
$$(4-2) \times 180^\circ = 2 \times 180^\circ$$

Answer:

$360^\circ$