Question

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

Explanation:

Step1: Use the formula for the sum of interior angles of a polygon

The formula for the sum of interior angles of a polygon is \((n - 2)\times180^{\circ}\), where \(n\) is the number of sides.

Step2: Count the number of sides of the polygon

The given polygon has \(n=6\) sides.

Step3: Substitute \(n = 6\) into the formula

\((6 - 2)\times180^{\circ}=4\times180^{\circ}\)

Step4: Calculate the result

\(4\times180^{\circ}=720^{\circ}\)

Answer:

\(720^{\circ}\)