To solve the problem of identifying a pair of alternate exterior angles, let's break it down.

Key concepts:

• Alternate exterior angles are pairs of angles that lie on opposite sides of a transversal and are on the outside of the two parallel lines.

Diagram analysis:

• The lines in the diagram appear to be two parallel lines cut by a transversal.
• The angles labeled 1 through 8 help us locate the positions.

Identifying alternate exterior angles:

1. Alternate angles are located on opposite sides of the transversal.
2. Exterior angles are outside the parallel lines.

From the diagram:

• Angle 3 and Angle 6 are on opposite sides of the transversal and outside the two parallel lines, making them a pair of alternate exterior angles.

Thus, the correct answer is C. ∠3 and ∠6.

Would you like more details, or have any questions?
Here are 5 questions for further exploration:

1. What are alternate interior angles?
2. Can you identify corresponding angles from the diagram?
3. What is the significance of parallel lines when identifying angle pairs?
4. How do alternate exterior angles differ from same-side exterior angles?
5. Can the transversal line create congruent angles?

Tip: When identifying alternate exterior angles, always check if the angles lie outside the parallel lines and on opposite sides of the transversal.