Question

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

Explanation:

Step1: Recall vertical - angles definition

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

Step2: Analyze each option

• $\angle NMP$ and $\angle LMP$ share a common side, so they are adjacent, not vertical.
• $\angle NMP$ and $\angle LMK$ are not formed by the intersection of two lines in the vertical - angles way.
• $\angle NMP$ and $\angle QPR$ are corresponding angles formed by two parallel lines and a transversal, not vertical angles.
• $\angle NMP$ and $\angle NMK$ are not vertical angles.

Since the lines $LN$ and $KR$ intersect at point $M$, the vertical - angle pairs are formed. But among the given options, none of them are vertical angles.

Answer:

None of the above options are vertical angles.