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 with \(n\) sides is \((n - 2)\times180^{\circ}\).

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

For a quadrilateral, \(n=4\). Then \((4 - 2)\times180^{\circ}=2\times180^{\circ}\).

Step3: Calculate the result

\(2\times180^{\circ}=360^{\circ}\).

Answer:

\(360^{\circ}\)