Let's analyze the image, which shows two parallel lines, $m$ and $n$, cut by a transversal line, $a$. The angles formed at the intersections are labeled from 1 to 8. Here's how we can classify the angles as per the question:

1. Corresponding angles: Corresponding angles are in the same relative position at each intersection.

   • A pair of corresponding angles: $\angle 1$ and $\angle 5$.

2. Alternate interior angles: These are non-adjacent angles that lie on opposite sides of the transversal but inside the parallel lines.

   • A pair of alternate interior angles: $\angle 3$ and $\angle 6$.

3. Alternate exterior angles: These are non-adjacent angles on opposite sides of the transversal but outside the parallel lines.

   • A pair of alternate exterior angles: $\angle 1$ and $\angle 8$.

Here is the filled-in answer:

• (a) Corresponding angles: $\angle 1$ and $\angle 5$
• (b) Alternate interior angles: $\angle 3$ and $\angle 6$
• (c) Alternate exterior angles: $\angle 1$ and $\angle 8$

Let me know if you need further details or explanations.

Here are 5 related questions you might find interesting:

1. What other pairs of corresponding angles can be found in this diagram?
2. Can you identify another pair of alternate interior angles?
3. Which angles are congruent to $\angle 4$ based on the properties of transversals?
4. How do you prove that lines $m$ and $n$ are parallel based on the angle relationships?
5. What is the relationship between $\angle 2$ and $\angle 8$?

Tip: When working with parallel lines and transversals, always remember that corresponding, alternate interior, and alternate exterior angles are congruent.