Question

find the sum of the interior angle measures of the polygon. the sum of the interior measures of the polygon is □°.

Explanation:

Step1: Recall the formula for the sum of interior angles

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

Step2: Determine the number of sides of the polygon

The given polygon is a quadrilateral, so \(n = 4\).

Step3: Calculate the sum of interior angles

Substitute \(n=4\) into the formula: \(S=(4 - 2)\times180^{\circ}=2\times180^{\circ}=360^{\circ}\)

Answer:

\(360\)