Question

1. vertical alternate interior same - side interior corresponding alternate exterior linear pair

Explanation:

Vertical angles are opposite angles formed by two intersecting lines. Alternate interior angles are between two parallel lines and on opposite sides of a transversal. Same - side interior angles are between two parallel lines and on the same side of a transversal. Corresponding angles are in the same relative position. Alternate exterior angles are outside two parallel lines and on opposite sides of a transversal. A linear pair is adjacent angles that form a straight line. Here, \(x\) and \(y\) are on the same side of the transversal and between the two parallel - like lines (assuming the non - vertical lines are parallel in the context of angle relationships), so they are same - side interior angles.

Answer:

same - side interior