Question

which angles are alternate exterior angles? ∠opr and ∠lmp ∠opr and ∠qpm ∠opr and ∠nmp ∠opr and ∠nmk

Explanation:

Step1: Recall definition of alternate - exterior angles

Alternate - exterior angles are two non - adjacent exterior angles that lie on opposite sides of a transversal.

Step2: Analyze each option

For the lines \(OQ\) and \(LN\) with transversal \(RK\):

• \(\angle OPR\) and \(\angle LMP\): \(\angle LMP\) is an interior angle, so this pair is not alternate - exterior.
• \(\angle OPR\) and \(\angle QPM\): \(\angle QPM\) is a linear - pair angle with \(\angle OPR\), not an alternate - exterior angle.
• \(\angle OPR\) and \(\angle NMP\): \(\angle NMP\) is an interior angle, so this pair is not alternate - exterior.
• \(\angle OPR\) and \(\angle NMK\): \(\angle OPR\) and \(\angle NMK\) are non - adjacent exterior angles that lie on opposite sides of the transversal \(RK\).

Answer:

\(\angle OPR\) and \(\angle NMK\)