Question

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

Explanation:

Step1: Recall definitions

• Same - side interior angles: Two angles that are on the same side of the transversal and between the two parallel lines.
• Linear pair: A pair of adjacent angles that form a straight line (sum to \(180^{\circ}\)).
• Alternate interior angles: Two non - adjacent angles that are on opposite sides of the transversal and between the two parallel lines.
• Alternate exterior angles: Two non - adjacent angles that are on opposite sides of the transversal and outside the two parallel lines.
• Vertical angles: Two non - adjacent angles formed by the intersection of two lines (opposite each other).
• Corresponding angles: Two angles that are in the same relative position with respect to the parallel lines and the transversal.

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

Angles \(x\) and \(y\) are adjacent and form a straight line (since they are on a straight line along with the transversal and the parallel - like structure).

Answer:

linear pair