Question

letters w, x, y, and z are angle measures. which should equal 92° to prove that r || s?

Explanation:

Step1: Recall the Alternate Exterior Angles Theorem

If two parallel lines are cut by a transversal, then alternate exterior angles are congruent.

Step2: Identify the angles

For lines \(r\) and \(s\) to be parallel, the angle \(z\) (which is an alternate exterior angle to the \(92^{\circ}\) angle) must be equal to \(92^{\circ}\) according to the Alternate Exterior Angles Theorem.

Answer:

\(z\)