Question

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

Explanation:

Step1: Recall definitions

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

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

Angles \(x\) and \(y\) are between the two parallel lines (the horizontal lines) and on opposite sides of the transversal (the slanted line). This matches the definition of alternate interior angles.

Answer:

alternate interior