right trapezoid wxyz is shown. what is the measure of angle wxy? 73° 90° 107° 163°

right trapezoid wxyz is shown. what is the measure of angle wxy? 73° 90° 107° 163°

right trapezoid wxyz is shown. what is the measure of angle wxy? 73° 90° 107° 163°

Answer

Explanation:

Step1: Recall properties of trapezoid

In a right - trapezoid, two adjacent angles along a non - parallel side are supplementary.

Step2: Identify relevant angles

We know that $\angle W$ and $\angle WXY$ are adjacent angles along the non - parallel side $WX$. Given $\angle W = 73^{\circ}$.

Step3: Calculate $\angle WXY$

Let $\angle WXY=x$. Since $\angle W+\angle WXY = 180^{\circ}$ (adjacent angles along non - parallel side of trapezoid are supplementary), then $x=180^{\circ}-\angle W$. Substituting $\angle W = 73^{\circ}$, we get $x = 180^{\circ}-73^{\circ}=107^{\circ}$.

Answer:

$107^{\circ}$