Question

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

Explanation:

Step1: Recall the property of trapezoid

In a trapezoid, consecutive angles between the non - parallel sides are supplementary (sum to \(180^{\circ}\)).

Step2: Calculate the measure of \(\angle WXY\)

Given \(\angle W = 73^{\circ}\), and using the supplementary - angle property for trapezoid \(WXYZ\) (\(WX\parallel YZ\)), we have \(\angle W+\angle WXY = 180^{\circ}\).
Substitute \(\angle W = 73^{\circ}\) into the equation: \(\angle WXY=180^{\circ}-\angle W\).

$$
LATEXBLOCK0
$$

Answer:

\(107^{\circ}\) (the third option)