Question

which angles are corresponding angles?∠qpm and ∠lmk∠qpm and ∠qpr∠qpm and ∠opr∠qpm and ∠nmk

Explanation:

Step1: Recall the definition of corresponding angles

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

Step2: Analyze each option

• For \(\angle QPM\) and \(\angle LMK\): They are not in the same relative position.
• For \(\angle QPM\) and \(\angle QPR\): These are adjacent angles, not corresponding angles.
• For \(\angle QPM\) and \(\angle OPR\): These are vertical angles (opposite angles formed by the intersection of two lines), not corresponding angles.
• For \(\angle QPM\) and \(\angle NMK\): When considering the two lines \(OQ\) and \(LN\) cut by the transversal \(RK\), \(\angle QPM\) and \(\angle NMK\) are in the same relative position (both are on the same side of the transversal and in the same "corner" - like position relative to the two lines being cut).

Answer:

\(\angle QPM\) and \(\angle NMK\)