Question

which angle is vertical to ∠4?

Explanation:

Step1: Recall the definition of vertical angles

Vertical angles are formed when two lines intersect. They are opposite each other and are congruent.

Step2: Analyze the given diagram

In the diagram, when lines intersect, ∠2 and ∠4 are not vertical. ∠1 and ∠5 are not vertical. ∠6 and ∠4 are not vertical. But ∠2 and ∠6 are not relevant here. ∠1 and ∠3 are not vertical. ∠5 and ∠3 are not vertical. The pair of angles formed by the intersection of lines such that they are opposite each other: ∠2 and ∠5 are not. ∠1 and ∠4 are not. ∠6 and ∠3 are not. Wait, re - checking: When two lines intersect, the vertical angle to ∠4 is ∠2.

Answer:

∠2