Question

which angles are vertical angles? ∠nmp and ∠lmk ∠nmp and ∠lmp ∠nmp and ∠qpr ∠nmp and ∠nmk

Explanation:

Step1: Recall vertical - angle definition

Vertical angles are formed when two lines intersect. They are opposite each other and are congruent.

Step2: Analyze each option

• For $\angle NMP$ and $\angle LMK$: They are not vertical angles as they are not formed by the same two - line intersection in the correct opposite - position relationship.
• For $\angle NMP$ and $\angle LMP$: They share a common side and are adjacent angles, not vertical angles.
• For $\angle NMP$ and $\angle QPR$: When the two intersecting lines are considered, $\angle NMP$ and $\angle QPR$ are vertical angles because they are opposite each other at the intersection of the two lines.
• For $\angle NMP$ and $\angle NMK$: They are not vertical angles as they do not have the correct opposite - position relationship at a line intersection.

Answer:

$\angle NMP$ and $\angle QPR$