Question

identify each pair of angles as corresponding, alternate interior, alternate exterior, consecutive interior, vertical, or linear pair. 3)

Explanation:

Step1: Recall angle - pair definitions

Corresponding angles are in the same relative position. Alternate interior angles are between the parallel lines and on opposite sides of the transversal. Alternate exterior angles are outside the parallel lines and on opposite sides of the transversal. Consecutive interior angles are between the parallel lines and on the same side of the transversal. Vertical angles are opposite each other when two lines intersect. Linear - pair angles are adjacent and supplementary.

Step2: Analyze the given pair of angles \(x\) and \(y\)

The angles \(x\) and \(y\) are opposite each other when two lines intersect.

Answer:

Vertical