Question

which angles are vertical to each other?
∠8 and ∠7
∠7 and ∠5
∠6 and ∠3
∠1 and ∠4

Explanation:

Step1: Recall vertical angles definition

Vertical angles are pairs of opposite angles formed by two intersecting lines.

Step2: Analyze each pair

• For $\angle8$ and $\angle7$: They are adjacent, not vertical.
• For $\angle7$ and $\angle5$: They are adjacent, not vertical.
• For $\angle6$ and $\angle3$: Not formed by the same two intersecting lines in a vertical - angle relationship.
• For $\angle1$ and $\angle4$: They are opposite angles formed by two intersecting lines.

Answer:

$\angle1$ and $\angle4$