Question

ln and oq are parallel lines. which angles are alternate exterior angles? ∠lmk and ∠qpr ∠lmk and ∠lmp ∠lmk and ∠nmp ∠lmk and ∠opm

Explanation:

Step1: Recall the definition of alternate exterior angles

Alternate exterior angles are a pair of angles that lie outside the two parallel lines and on opposite sides of the transversal.

Step2: Analyze each option

• For $\angle LMK$ and $\angle QPR$:

$\angle LMK$ lies outside $\overleftrightarrow{LN}$, $\angle QPR$ lies outside $\overleftrightarrow{OQ}$, and they are on opposite sides of the transversal $\overleftrightarrow{KR}$.

• For $\angle LMK$ and $\angle LMP$: These two angles are adjacent, not alternate exterior angles.
• For $\angle LMK$ and $\angle NMP$: These two angles are vertical angles, not alternate exterior angles.
• For $\angle LMK$ and $\angle OPM$: These two angles do not meet the criteria of alternate exterior angles.

Answer:

$\angle LMK$ and $\angle QPR$