Question

complete this sentence. the sum of the measures of the angles of any quadrilateral is. after you enter your answer press go.

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 of the polygon.

Step2: Substitute \(n = 4\) (since a quadrilateral has 4 sides)

When \(n=4\), we have \((4 - 2)\times180^{\circ}=2\times180^{\circ}\)
\(2\times180^{\circ}=360^{\circ}\)

Answer:

\(360^{\circ}\)