Let's classify the pairs of angles in the diagrams based on the options provided: corresponding, alternate interior, alternate exterior, consecutive (same-side) interior, or consecutive (same-side) exterior angles.

Diagram 3:

• ∠1 and ∠2: These are on opposite sides of the transversal and outside the parallel lines.
• Classification: Alternate exterior angles.

Diagram 4:

• ∠1 and ∠2: These are on opposite sides of the transversal and inside the parallel lines.
• Classification: Alternate interior angles.

Diagram 5:

• ∠1 and ∠2: These are on the same side of the transversal and outside the parallel lines.
• Classification: Consecutive (same-side) exterior angles.

Diagram 6:

• ∠1 and ∠2: These are on opposite sides of the transversal and outside the parallel lines.
• Classification: Alternate exterior angles.

Diagram 7:

• ∠1 and ∠2: These are on the same side of the transversal and inside the parallel lines.
• Classification: Consecutive (same-side) interior angles.

Diagram 8:

• ∠1 and ∠2: These are on opposite sides of the transversal and inside the parallel lines.
• Classification: Alternate interior angles.

Let me know if you'd like more details or further clarifications!

Here are 5 related questions to deepen your understanding:

1. What are corresponding angles, and how do they differ from alternate angles?
2. How can you identify if two lines are parallel based on angle relationships?
3. In which situations do alternate exterior angles become congruent?
4. Why are consecutive interior angles supplementary when lines are parallel?
5. How can angle relationships help in proving two lines are parallel?

Tip: When lines are parallel, corresponding and alternate interior/exterior angles are congruent, while consecutive interior angles are supplementary (add up to 180°).