In the image, we are asked to identify pairs of vertical angles. Vertical angles are the pairs of opposite angles formed by two intersecting lines. These angles are congruent (i.e., they have the same measure).

By looking at the diagram:

• ∠2 and ∠4 are vertical angles. These angles are formed where two lines intersect near the center of the diagram.

Therefore, the correct answer is ∠2 and ∠4.

Would you like more details about how vertical angles work or how to identify them? Here are some related questions to explore further:

1. What other pairs of vertical angles can you identify in this diagram?
2. How do vertical angles differ from corresponding or alternate interior angles?
3. Can you explain why vertical angles are always congruent?
4. How would you calculate the measure of vertical angles if one angle is given?
5. What is the relationship between vertical angles and linear pairs?

Tip: Vertical angles are always congruent because they are formed by the same two intersecting lines. If you know one angle, the opposite vertical angle will have the same measure.