Question

what is the sum of the interior angle measures of a convex octagon? °

Explanation:

Step1: Recall polygon angle formula

The sum of interior angles of an $n$-sided polygon is given by $(n-2)\times180^\circ$.

Step2: Identify $n$ for octagon

An octagon has $n=8$ sides.

Step3: Substitute $n=8$ into formula

$$(8-2)\times180^\circ = 6\times180^\circ$$

Step4: Calculate the final value

$$6\times180^\circ = 1080^\circ$$

Answer:

$1080$