Question

which angles are corresponding angles? ∠lmk and ∠lmp ∠nmp and ∠opm ∠nmk and ∠qpm ∠opm and ∠nmk

Explanation:

Step1: Recall corresponding - angles definition

Corresponding angles are in the same relative position with respect to the transversal and the parallel lines. When two lines are cut by a transversal, corresponding angles are congruent if the two lines are parallel.

Step2: Analyze each option

• For ∠LMK and ∠LMP, they share a common side and are adjacent angles, not corresponding angles.
• For ∠NMP and ∠OPM, they are alternate - interior angles (assuming the relevant lines are parallel).
• For ∠NMK and ∠QPM, they are corresponding angles. They are in the same relative position with respect to the transversal RK and the lines OL and QN.
• For ∠OPM and ∠NMK, they have no such special angle - relationship like corresponding angles.

Answer:

∠NMK and ∠QPM