Question

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

Explanation:

Step1: Recall definitions

• A linear pair: adjacent angles that form a straight line ($x + y=180^{\circ}$ as they are adjacent and their non - common sides form a straight line).
• Alternate exterior: non - adjacent angles outside the two parallel lines and on opposite sides of the transversal.
• Same - side interior: non - adjacent angles inside the two parallel lines and on the same side of the transversal.
• Alternate interior: non - adjacent angles inside the two parallel lines and on opposite sides of the transversal.
• Corresponding: angles in the same relative position.
• Vertical: opposite angles formed by two intersecting lines.

Step2: Analyze the relationship

Since \(x\) and \(y\) are adjacent angles and their non - common sides form a straight line (a straight angle is \(180^{\circ}\)), they are a linear pair.

Answer:

linear pair