Question

km and np are parallel lines. which angles are alternate interior angles? ∠mlj and ∠mlo ∠mlj and ∠nol ∠mlo and ∠pol ∠pol and ∠klo

Explanation:

Step1: Recall the definition of alternate interior angles

Alternate interior angles are formed when a transversal crosses two parallel lines. They lie between the two parallel lines and on opposite sides of the transversal.

Step2: Analyze each option

• For $\angle MLJ$ and $\angle MLO$: These angles are adjacent, not alternate interior.
• For $\angle MLJ$ and $\angle NOL$: $\angle MLJ$ is not between the parallel lines $KM$ and $NP$ in the correct position for alternate - interior with $\angle NOL$.
• For $\angle MLO$ and $\angle POL$: $\overrightarrow{KM}\parallel\overrightarrow{NP}$, and the transversal is $QJ$. $\angle MLO$ and $\angle POL$ lie between $KM$ and $NP$ and on opposite sides of the transversal $QJ$.
• For $\angle POL$ and $\angle KLO$: $\angle KLO$ is not in the correct position (not between the two parallel lines in the alternate - interior sense with $\angle POL$).

Answer:

$\angle MLO$ and $\angle POL$