Question

which angles are vertical to each other? image of intersecting lines with angles labeled 1 - 8 options: ∠3 and ∠1, ∠5 and ∠8, ∠8 and ∠4, ∠6 and ∠5

Explanation:

Step1: Define vertical angles

Vertical angles are pairs of non-adjacent angles formed by two intersecting lines, and they are congruent.

Step2: Analyze each option

• $\angle3$ and $\angle1$: These are adjacent angles forming a linear pair, not vertical.
• $\angle5$ and $\angle8$: These are adjacent angles forming a linear pair, not vertical.
• $\angle8$ and $\angle4$: These are not formed by the same two intersecting lines, not vertical.
• $\angle6$ and $\angle5$: These are non-adjacent angles formed by two intersecting lines, so they are vertical angles.

Answer:

$\angle6$ and $\angle5$