Question

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

Explanation:

Step1: Use the property of trapezoid

In a trapezoid, consecutive angles between the parallel sides are supplementary. Here, \(XY\parallel WZ\), and \(\angle W\) and \(\angle WXY\) are consecutive angles.

Step2: Calculate \(\angle WXY\)

Since \(\angle W = 73^{\circ}\), and \(\angle W+\angle WXY = 180^{\circ}\) (supplementary angles), then \(\angle WXY=180^{\circ}-\angle W\).
Substitute \(\angle W = 73^{\circ}\) into the formula: \(\angle WXY = 180^{\circ}- 73^{\circ}=107^{\circ}\)

Answer:

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