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The problem asks which pair of angles represents corresponding angles, given two parallel lines cut by a transversal.

**Corresponding angles** are pairs of angles that are in the same relative position at each intersection where the transversal crosses the parallel lines. Based on the diagram, angles that are in corresponding positions are:

- \( \angle 1 \) and \( \angle 5 \)
- \( \angle 2 \) and \( \angle 6 \)
- \( \angle 3 \) and \( \angle 7 \)
- \( \angle 4 \) and \( \angle 8 \)

So, the correct answer for corresponding angles from the given options would be:

**\( \angle 1 \) and \( \angle 5 \)**

Let me know if you would like more details or have any other questions!

Here are some related questions to consider:
1. What are alternate interior angles?
2. What is the sum of angles formed by a transversal cutting parallel lines?
3. Can two angles be corresponding if the lines are not parallel?
4. How do you find the measure of corresponding angles?
5. What are consecutive interior angles?

**Tip:** Corresponding angles are always equal when two parallel lines are cut by a transversal.

Given two parallel lines cut by a transversal, which pair of angles represents corresponding angles?

Learn how to identify corresponding angles when two parallel lines are cut by a transversal. Understand the concept of corresponding angles, where they occur in geometric figures, and how they relate to each other. Suitable for students in Grades 7-9.

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