Question

ln and oq are parallel lines. which angles are adjacent angles? ∠lmp and ∠opm ∠lmp and ∠lmk ∠lmp and ∠qpr ∠lmp and ∠opr

Explanation:

Step1: Recall adjacent - angle definition

Adjacent angles share a common vertex and a common side, and have no interior points in common.

Step2: Analyze each option

• For $\angle{LMP}$ and $\angle{OPM}$: They share a common side $MP$ and a common vertex $P$, and have no interior - points in common.
• For $\angle{LMP}$ and $\angle{LMK}$: They do not share a common side in the required way for adjacent angles.
• For $\angle{LMP}$ and $\angle{QPR}$: They are not adjacent as they do not share a common side and vertex in the proper way.
• For $\angle{LMP}$ and $\angle{OPR}$: They are not adjacent as they do not share a common side and vertex in the proper way.

Answer:

$\angle{LMP}$ and $\angle{OPM}$