Question

which angles are vertical to each other?

∠6 and ∠8 ∠4 and ∠7 ∠2 and ∠9 ∠1 and ∠8

Explanation:

Step1: Recall the definition of vertical angles

Vertical angles are formed when two lines intersect. They are opposite each other and are equal in measure.

Step2: Analyze each pair

• For $\angle6$ and $\angle8$: They are not formed by the intersection of two lines in the vertical - angle - forming way.
• For $\angle4$ and $\angle7$: They are not vertical angles as they do not meet the intersection - based opposite - angle criterion.
• For $\angle2$ and $\angle9$: When two lines intersect (the lines that form these angles), $\angle2$ and $\angle9$ are opposite each other.
• For $\angle1$ and $\angle8$: They are not vertical angles as they do not satisfy the vertical - angle formation condition.

Answer:

$\angle2$ and $\angle9$