In the image, you are asked to classify angles ∠2 and ∠4 based on their relationship.

Looking at the diagram:

• Angles ∠2 and ∠4 are on opposite sides of the transversal and inside the two parallel lines.

This relationship defines Alternate Interior Angles. Alternate interior angles are congruent (equal) when the lines are parallel.

Thus, ∠2 and ∠4 are Alternate Interior Angles.

Would you like further details or have any other questions?

Here are 5 related questions to expand your understanding:

1. What are alternate exterior angles, and how do they differ from alternate interior angles?
2. Can you explain why alternate interior angles are congruent when lines are parallel?
3. How would the angle relationships change if the lines were not parallel?
4. What is the difference between corresponding angles and alternate angles?
5. How can you use the concept of consecutive interior angles in solving problems involving parallel lines?

Tip: Remember, when two parallel lines are cut by a transversal, many angle pairs (corresponding, alternate interior, alternate exterior) have specific relationships that can help solve geometric problems.