Question

letters x, y, and z are angle measures. which equations would guarantee that lines p and q are parallel? choose two correct answers.
4520va v. geometry sema a geometry
proving lines parallel

Explanation:

Step1: Recall properties of parallel lines

When two parallel lines are cut by a transversal, alternate - interior angles are equal. So, if \(p\parallel q\), then \(x = y\) (alternate - interior angles).

Step2: Recall properties of linear pairs

Also, when two parallel lines are cut by a transversal, consecutive interior angles are supplementary. So, \(x + z=180^{\circ}\) (consecutive interior angles).

Answer:

\(x = y\) and \(x + z = 180^{\circ}\)