Question

1. find the sum of the interior angle measures of the polygon.

Explanation:

Step1: Recall the formula for sum of interior - angles

The formula for the sum of the interior - angle measures of a polygon with \(n\) sides is \(S=(n - 2)\times180^{\circ}\).

Step2: Determine the number of sides of the polygon

Count the number of sides of the given polygon. The polygon has \(n = 5\) sides.

Step3: Calculate the sum of interior - angles

Substitute \(n = 5\) into the formula \(S=(n - 2)\times180^{\circ}\). So \(S=(5 - 2)\times180^{\circ}=3\times180^{\circ}=540^{\circ}\).

Answer:

\(540^{\circ}\)