https://file.aiquickdraw.com/mathbot/file/1725582275396ykcqxesn.jpg

In the image, two parallel lines \( RT \) and \( UW \) are given, with a transversal \( VY \) crossing them. The question asks which angles are alternate interior angles.

### Identifying Alternate Interior Angles:

Alternate interior angles are formed when a transversal crosses two parallel lines. These angles lie on opposite sides of the transversal and inside the two parallel lines.

From the diagram, we can observe:

- The parallel lines are \( RT \) and \( UW \).
- The transversal is \( VY \).

The pairs of alternate interior angles are:

1. \( \angle XVU \) and \( \angle TVW \)
2. \( \angle UVX \) and \( \angle WVY \)

Thus, the pairs of alternate interior angles are:

- \( \angle XVU \) and \( \angle TVW \)
- \( \angle UVX \) and \( \angle WVY \)

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### Related Questions:
1. What are corresponding angles in this diagram?
2. How do you identify consecutive interior angles in a transversal setup?
3. Why are alternate interior angles equal in measure when lines are parallel?
4. Can two angles that are not alternate interior still be congruent? If so, which ones?
5. How do you calculate the measures of these angles if additional information is given?

**Tip:** Always remember that alternate interior angles are congruent when the lines they cut across are parallel!

Which angles are alternate interior angles?

Learn how to identify alternate interior angles formed by parallel lines RT and UW crossed by transversal VY. Understand key concepts, including the Alternate Interior Angle Theorem and how to determine congruent angle pairs. Suitable for students in Grades 7-9.

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