The question is asking to name a pair of vertical angles based on the provided diagram. Vertical angles are the angles that are opposite each other when two lines intersect. In this diagram, the lines intersect at the center, and the angles are numbered 1, 2, 3, 4, and 5.

Vertical angles are:

• ∠1 and ∠3: These are opposite angles created by the intersecting lines.
• ∠2 and ∠4: These are also opposite angles.

However, among the given options, the correct pair of vertical angles is ∠1 and ∠3.

Answer: The correct option is ∠1 and ∠3.

Would you like any further details or clarifications?

Here are 5 related questions to deepen understanding:

1. What is the definition of vertical angles?
2. Can two adjacent angles ever be vertical angles?
3. How are vertical angles and supplementary angles different?
4. Can vertical angles be congruent? Why or why not?
5. How do vertical angles appear in parallel line and transversal setups?

Tip: Remember that vertical angles are always equal (congruent) because they are formed by intersecting lines.