Question

1. choose the correct answer.

given ∠1, ∠2, ∠4, and ∠8, which are vertical angles?
∠1 and ∠2
∠4 and ∠8
∠2 and ∠4
∠1 and ∠4

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 $\angle1$ and $\angle2$: They are adjacent angles (they share a common side), so they are not vertical angles.
• For $\angle4$ and $\angle8$: $\angle4$ and $\angle8$ are not formed by the intersection of the same two lines in the required non - adjacent, opposite - each - other way.
• For $\angle2$ and $\angle4$: They are vertical angles as they are non - adjacent and formed by the intersection of lines $l$ and $t$.
• For $\angle1$ and $\angle4$: They are adjacent angles (they share a common side), so they are not vertical angles.

Answer:

$\angle2$ and $\angle4$