Question

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

Explanation:

Step1: Identify number of sides

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

Step2: Apply interior angle sum formula

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

$$\begin{align} (n-2)\times180^\circ&=(6-2)\times180^\circ\\ &=4\times180^\circ \end{align}$$

Step3: Calculate the final value

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

Answer:

$720$