https://file.aiquickdraw.com/mathbot/file/1728437562299x9an0lit.jpg

In this diagram, the lines \(QS\) and \(TV\) are parallel, and \(WR\) is the transversal intersecting these lines. Corresponding angles are pairs of angles that are in matching corners when a transversal crosses two parallel lines.

To identify corresponding angles in this case:

- \(\angle QRU\) is an angle on the top-right of the transversal between the parallel lines.
- The angle that corresponds to \(\angle QRU\) on the lower parallel line \(TV\) would be \(\angle VUW\), as it occupies the same relative position on the other side of the transversal.

Therefore, the correct answer is:

\(\angle QRU\) and \(\angle VUW\).

Would you like more details or have any questions about this?

Here are 5 related questions:
1. What are alternate interior angles in this diagram?
2. How do we find vertically opposite angles in this figure?
3. What is the relationship between corresponding and alternate exterior angles?
4. How would the sum of consecutive interior angles behave in parallel lines?
5. How can you prove the lines are parallel using angles?

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

Which angles are corresponding angles based on the parallel lines QS and TV and transversal WR?

This geometry problem involves identifying corresponding angles formed by two parallel lines QS and TV intersected by a transversal WR. Using the Corresponding Angle Theorem, find which angle pairs are congruent. Suitable for students in Grades 7-9.

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