Question

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

Explanation:

Step1: Identify the number of sides

The polygon is an octagon, so \(n = 8\).

Step2: Use the formula for the sum of interior angles

The formula is \((n - 2)\times180^{\circ}\). Substitute \(n = 8\) into the formula: \((8 - 2)\times180^{\circ}\).

Step3: Calculate the result

\((8 - 2)\times180^{\circ}=6\times180^{\circ}=1080^{\circ}\).

Answer:

\(1080\)