The diagram provided shows two parallel lines cut by a transversal, forming various angles. Let's classify the angle pairs based on their geometric relationships.

Here are the classifications for each part:

a) ∠1 and ∠2:

• Alternate exterior angles (correct as noted).

b) ∠2 and ∠3:

• Corresponding angles (same relative position on both lines with respect to the transversal).

c) ∠3 and ∠4:

• Vertical angles (opposite angles formed by two intersecting lines).

d) ∠4 and ∠5:

• Alternate interior angles (on opposite sides of the transversal and between the two lines).

e) ∠5 and ∠6:

• Corresponding angles.

f) ∠3 and ∠5:

• Same-side interior angles (on the same side of the transversal and between the two lines).

g) ∠1 and ∠4:

• Corresponding angles.

h) ∠4 and ∠6:

• Vertical angles.

i) ∠1 and ∠6:

• Alternate exterior angles.

Would you like more details or have any questions?

Here are 5 related questions:

1. Can you explain why vertical angles are always equal?
2. What is the difference between alternate interior and alternate exterior angles?
3. Why are corresponding angles always congruent when the lines are parallel?
4. How can same-side interior angles help prove that two lines are parallel?
5. Can corresponding angles exist if the lines are not parallel?

Tip: When dealing with transversal angles, remember that alternate interior, alternate exterior, and corresponding angles are congruent if the lines are parallel.