Question

identify each pair of angles as corresponding, alternate interior, alternate exterior, consecutive interior (same - side interior), vertical, or adjacent. alternate interior consecutive interior alternate exterior corresponding

Explanation:

Step1: Recall angle - pair definitions

• Corresponding angles: Angles in the same relative position.
• Alternate interior angles: Non - adjacent interior angles on opposite sides of the transversal.
• Alternate exterior angles: Non - adjacent exterior angles on opposite sides of the transversal.
• Consecutive interior angles (same - side interior angles): Interior angles on the same side of the transversal.
• Vertical angles: Opposite angles formed by two intersecting lines.
• Adjacent angles: Angles with a common side and vertex.

Step2: Analyze the given angle pair

In the given figure, the two angles \(x\) and \(y\) are non - adjacent interior angles on opposite sides of the transversal.

Answer:

alternate interior