Question

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

Explanation:

Step1: Recall the definition of corresponding angles

Corresponding angles are angles that are in the same relative position at each intersection where a straight line crosses two others.

Step2: Analyze each option

• For $\angle QPR$ and $\angle QPM$, they are adjacent angles, not corresponding angles.
• For $\angle LMK$ and $\angle LMP$, they are adjacent angles, not corresponding angles.
• For $\angle OPM$ and $\angle OPR$, they are adjacent angles, not corresponding angles.
• For $\angle NMK$ and $\angle QPM$, since $\overleftrightarrow{LN}$ and $\overleftrightarrow{OQ}$ are parallel lines and $\overleftrightarrow{RK}$ is a transversal, $\angle NMK$ and $\angle QPM$ are in the same relative position (both are on the same side of the transversal and in corresponding positions relative to the parallel lines).

Answer:

$\angle NMK$ and $\angle QPM$