Question

what is the measure of angle s? 48° 56° 93° 101°

Explanation:

Step1: Recall the sum of interior angles of a quadrilateral

The sum of interior angles of a quadrilateral is \(360^{\circ}\).

Step2: Set up the equation

Let \(\angle S=x\). Then \(56^{\circ}+132^{\circ}+79^{\circ}+x = 360^{\circ}\).

Step3: Simplify the left - hand side

\(56 + 132+79+x=(56 + 132)+79+x=188+79+x=267+x\).

Step4: Solve for \(x\)

\(267+x = 360\), so \(x=360 - 267=93^{\circ}\).

Answer:

\(93^{\circ}\) (the third option)