Question

what is the sum of the angle measures in this shape?

Explanation:

Step1: Identify number of sides

The shape is a hexagon, so $n=6$.

Step2: Apply polygon angle sum formula

Use the formula for the sum of interior angles of a polygon: $(n-2)\times180^\circ$
$$(6-2)\times180^\circ = 4\times180^\circ$$

Step3: Calculate the final value

$$4\times180^\circ=720^\circ$$

Answer:

$720^\circ$