Question

which angles are corresponding angles? ∠lmp and ∠qpm ∠lmp and ∠nmp ∠lmp and ∠opr ∠lmp and ∠nmk

Explanation:

Step1: Recall definition of corresponding angles

Corresponding angles are in the same relative position at each intersection where a straight - line crosses two others. If the two lines are parallel, corresponding angles are equal.

Step2: Analyze each option

• For $\angle LMP$ and $\angle QPM$, they are in the same relative position with respect to the transversal $RK$ and the two lines $OQ$ and $LN$. They are corresponding angles.
• $\angle LMP$ and $\angle NMP$ are adjacent angles.
• $\angle LMP$ and $\angle OPR$ have no corresponding - angle relationship.
• $\angle LMP$ and $\angle NMK$ are vertical angles.

Answer:

$\angle LMP$ and $\angle QPM$