Question

in the diagram, which pair of angles are vertical angles? ∠1 and ∠2 ∠4 and ∠6 ∠6 and ∠8 ∠5 and ∠3

Explanation:

Vertical angles are pairs of opposite angles formed by intersecting lines, sharing only a common vertex and being equal in measure.

• $\angle1$ and $\angle2$ are adjacent angles (share a side), not vertical.
• $\angle4$ and $\angle8$ are formed by different intersecting line pairs, not vertical.
• $\angle6$ and $\angle8$ are opposite angles formed by the intersection of the horizontal line and the right slanted line, so they are vertical angles.
• $\angle5$ and $\angle3$ are corresponding angles, not vertical.

Answer:

$\angle6$ and $\angle8$