Question

km and np are parallel lines. which angles are alternate exterior angles? ∠poq and ∠nol ∠mlj and ∠noq ∠klo and ∠poq ∠mlj and ∠mlo

Explanation:

Step1: Recall alternate exterior angles definition

Alternate exterior angles are non - adjacent angles that lie outside the two parallel lines and on opposite sides of the transversal.

Step2: Analyze each option

• For $\angle POQ$ and $\angle NOL$: These angles are adjacent, so they are not alternate exterior angles.
• For $\angle MLJ$ and $\angle NOQ$: $\overrightarrow{KM}\parallel\overrightarrow{NP}$, and $QJ$ is the transversal. $\angle MLJ$ and $\angle NOQ$ lie outside the parallel lines $\overrightarrow{KM}$ and $\overrightarrow{NP}$ and on opposite sides of the transversal $QJ$.
• For $\angle KLO$ and $\angle POQ$: $\angle KLO$ and $\angle POQ$ do not satisfy the position relationship of alternate exterior angles.
• For $\angle MLJ$ and $\angle MLO$: These angles are adjacent, so they are not alternate exterior angles.

Answer:

$\angle MLJ$ and $\angle NOQ$