Question

which angles are corresponding angles?
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Explanation:

Step1: Recall the definition of corresponding angles

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

Step2: Analyze each pair

• For \(\angle QPR\) and \(\angle OPM\): These are vertical angles (opposite angles formed by the intersection of two lines), not corresponding angles.
• For \(\angle OPR\) and \(\angle LMP\): These are not in the same relative position.
• For \(\angle LMK\) and \(\angle QPM\): These are not in the same relative position.
• For \(\angle LMP\) and \(\angle QPR\): When considering the two parallel lines \(OQ\) and \(LN\) cut by the transversal \(RK\), \(\angle LMP\) and \(\angle QPR\) are in the same relative position (both are on the same side of the transversal and in corresponding positions with respect to the parallel lines).

Answer:

\(\angle LMP\) and \(\angle QPR\)