Question

which angles are vertical to each other?
∠6 and ∠4 ∠1 and ∠8 ∠2 and ∠4 ∠2 and ∠1

Explanation:

Step1: Recall the definition of vertical angles

Vertical angles are a pair of non - adjacent angles formed by the intersection of two lines. They are opposite each other.

Step2: Analyze each option

• For $\angle6$ and $\angle4$: They are not formed by the intersection of the same two lines in a vertical - angle relationship.
• For $\angle1$ and $\angle8$: When we consider the intersection of the two lines (the ones that create these angles), $\angle1$ and $\angle8$ are non - adjacent and opposite each other.
• For $\angle2$ and $\angle4$: They are adjacent (share a common side), so they are not vertical angles.
• For $\angle2$ and $\angle1$: They are adjacent (share a common side), so they are not vertical angles.

Answer:

$\angle1$ and $\angle8$