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

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

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

Answer

Explanation:

Step1: Recall sum of angles in quadrilateral

The sum of interior - angles of a quadrilateral is $360^{\circ}$.

Step2: Set up equation

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

Step3: Simplify left - hand side

$132 + 56+79=267$, so the equation becomes $267^{\circ}+x = 360^{\circ}$.

Step4: Solve for $x$

$x=360^{\circ}-267^{\circ}=93^{\circ}$.

Answer:

$93^{\circ}$