Question

which angles are adjacent angles? ∠lmk and ∠opr ∠qpm and ∠opm ∠lmk and ∠nmp ∠opm and ∠nmk

Explanation:

Step1: Recall adjacent - angle definition

Adjacent angles share a common vertex and a common side.

Step2: Analyze each option

• For $\angle LMK$ and $\angle OPR$, they have no common vertex or side.
• For $\angle QPM$ and $\angle OPM$, they share the common vertex $P$ and the common side $\overrightarrow{OP}$.
• For $\angle LMK$ and $\angle NMP$, they are vertical - angles (opposite angles formed by two intersecting lines), not adjacent.
• For $\angle OPM$ and $\angle NMK$, they have no common vertex or side.

Answer:

$\angle QPM$ and $\angle OPM$