https://file.aiquickdraw.com/mathbot/file/1726798894804bjklpct4.jpg

To solve the question, we need to identify a pair of corresponding angles and the transversal between the lines.

### Definition of Corresponding Angles:
Corresponding angles are formed when two parallel lines are crossed by a transversal. They are in the same relative position at each intersection.

#### Lines and Transversal:
In this diagram:
- The lines \(a\) and \(e\) are parallel.
- Line \(b\) acts as the transversal crossing lines \(a\) and \(e\).

### Analyzing the Angles:
From the diagram:
- \(\angle 2\) is on the lower side of line \(a\), and \(\angle 6\) is on the lower side of line \(e\).
- Both angles are on the same side of the transversal \(b\) and in corresponding positions, making them **corresponding angles**.

### Correct Answer:
- The correct pair of corresponding angles is \( \angle 6 \) and \( \angle 2 \), which corresponds to **Option A: \(\angle 2\) and \(\angle 6\)**.

Would you like more details or have any questions about this? Here are 5 related questions that might help:

1. What are alternate interior angles, and how do they differ from corresponding angles?
2. How can you identify other pairs of corresponding angles in this diagram?
3. Why are lines \(a\) and \(e\) considered parallel in this diagram?
4. What role does the transversal play in forming corresponding angles?
5. How would the angles change if the lines were not parallel?

**Tip:** Remember, corresponding angles are always equal when the lines are parallel!

Identify a pair of corresponding angles in the diagram. Name the two lines and the transversal that form the pair.

Explore how to identify corresponding angles when two parallel lines are intersected by a transversal. This guide provides a detailed explanation of the Corresponding Angles Postulate, suitable for middle school students learning geometry.

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