1. **Stating the problem:** We are given two parallel horizontal lines intersected by two transversal lines, creating pairs of angles labeled a, b, c, d on the bottom intersection and e, f, g, h on the top intersection. 2. **Understanding angle relationships:** When two parallel lines are cut by a transversal, certain pairs of angles have special relationships: - **Corresponding angles:** Angles in the same relative position at each intersection. They are equal. - **Alternate interior angles:** Angles on opposite sides of the transversal but inside the parallel lines. They are equal. 3. **Analyzing each pair:** (a) a and d: Both are on the bottom intersection but different positions. They are adjacent angles, not corresponding or alternate. (b) b and f: b is on the bottom intersection, f is on the top intersection. They are in the same relative position (both on the right side of the transversal and above the line), so they are **corresponding angles**. (c) c and g: c is on the bottom intersection, g is on the top intersection. They are on opposite sides of the transversal and inside the parallel lines, so they are **alternate interior angles**. (d) d and e: d is on the bottom intersection, e is on the top intersection. They are adjacent to the transversal but on the same side, so neither corresponding nor alternate. (e) e and h: Both are on the top intersection, adjacent angles, so neither corresponding nor alternate. **Final answers:** - a and d: Neither - b and f: Corresponding - c and g: Alternate interior - d and e: Neither - e and h: Neither