Question

ving lines parallel
letters w, x, y, and z are angle measures
which should equal $92^{circ}$ to prove that $r \parallel s$?

Explanation:

Step1: Recall the property of alternate interior angles

If two lines are parallel, then alternate interior angles are equal.

Step2: Identify the relationship between the given angle and the angles in the figure

The angle of \(92^{\circ}\) and angle \(x\) are alternate interior angles. If \(x = 92^{\circ}\), then by the converse of the alternate interior angles theorem, \(r\parallel s\).

Answer:

\(x\)