Question

1. which of the following pairs represents corresponding angles?

options:

• $\angle 2$ and $\angle 8$
• $\angle 1$ and $\angle 5$
• $\angle 3$ and $\angle 5$
• $\angle 4$ and $\angle 6$

Explanation:

To determine corresponding angles, we recall that corresponding angles are in the same relative position at each intersection where a transversal crosses two parallel lines.

• For \( \angle 2 \) and \( \angle 8 \): These are not in corresponding positions.
• For \( \angle 1 \) and \( \angle 5 \): \( \angle 1 \) and \( \angle 5 \) are in the same relative position (top - left corner) at their respective intersections of the transversal with the two parallel lines (the vertical lines \( j \) and \( k \), and the horizontal transversal).
• For \( \angle 3 \) and \( \angle 5 \): These are not in corresponding positions.
• For \( \angle 4 \) and \( \angle 6 \): These are not in corresponding positions.

Answer:

B. \( \angle 1 \) and \( \angle 5 \)