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In the diagram, two parallel lines \( l \) and \( m \) are cut by a transversal \( t \). 

**Alternate interior angles** are non-adjacent angles that lie on opposite sides of the transversal and between the two parallel lines.

Looking at the diagram:
- \( \angle 3 \) and \( \angle 6 \) are on opposite sides of the transversal and between lines \( l \) and \( m \), making them alternate interior angles.

Thus, the correct answer is:
- \( \boxed{\angle 3 \text{ and } \angle 6} \).

Would you like further clarification or details? Here are 5 related questions to deepen understanding:

1. What are corresponding angles in this diagram?
2. How do you identify alternate exterior angles?
3. What is the relationship between angles formed when a transversal cuts parallel lines?
4. How can we prove that \( l \parallel m \) using the given angles?
5. How would the angle relationships change if \( l \) and \( m \) were not parallel?

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

Given ∠1, ∠2, ∠3, and ∠6, which are alternate interior angles?

Learn how to identify alternate interior angles in a geometry problem where two parallel lines are intersected by a transversal. This problem helps students understand the Alternate Interior Angles Theorem and its application in finding angle pairs between parallel lines.

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