Question

which angles are vertical to each other?
image of intersecting lines with labeled angles 1,2,3,4,5,6,7,8
options:
∠3 and ∠8
∠5 and ∠3
∠2 and ∠5
∠6 and ∠8

Explanation:

Vertical angles are pairs of non-adjacent angles formed when two lines intersect, and they are congruent. We check each option:

• $\angle3$ and $\angle8$: These are adjacent angles formed by three lines, not vertical.
• $\angle5$ and $\angle3$: These are adjacent angles on a transversal, not vertical.
• $\angle2$ and $\angle5$: These are non-adjacent angles formed by two intersecting lines, so they are vertical angles.
• $\angle6$ and $\angle8$: These are adjacent supplementary angles, not vertical.

Answer:

$\boldsymbol{\angle2 \text{ and } \angle5}$