Question

8)
a) alternate exterior
b) alternate interior
c) corresponding
d) same - side interior

Explanation:

Step1: Recall Angle Relationship Definitions

• Alternate exterior angles: Lie outside the two parallel lines, on opposite sides of the transversal.
• Alternate interior angles: Lie between the two parallel lines, on opposite sides of the transversal.
• Corresponding angles: Occupy the same relative position at each intersection where a straight line crosses two others.
• Same - side interior angles: Lie between the two parallel lines, on the same side of the transversal.

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

In the given diagram, we have two parallel lines cut by a transversal. Angles \(x\) and \(y\) are in the same relative position with respect to the parallel lines and the transversal. That is, if we consider the intersection points of the transversal with the two parallel lines, angle \(x\) and angle \(y\) are at the same "corner" position (e.g., both are above the parallel lines or both are below, and on the same side of the transversal in terms of their relative position to the parallel lines). So they are corresponding angles.

Answer:

C) corresponding