Question

km and np are parallel lines. which angles are corresponding angles? ∠noq and ∠pol ∠noq and ∠klo ∠noq and ∠mlj ∠noq and ∠mlo

Explanation:

Step1: Recall corresponding - angles definition

Corresponding angles are in the same relative position with respect to the parallel lines and the transversal.

Step2: Analyze each option

• $\angle NOQ$ and $\angle POL$ are vertical angles.
• $\angle NOQ$ and $\angle KLO$ are alternate - interior angles.
• $\angle NOQ$ and $\angle MLJ$: When $\overleftrightarrow{KM}\parallel\overleftrightarrow{NP}$ and $\overleftrightarrow{JQ}$ is a transversal, $\angle NOQ$ and $\angle MLJ$ are in the same relative position (both are above the parallel lines and to the right of the transversal).
• $\angle NOQ$ and $\angle MLO$ are not related in a special way among the common angle - relationships for parallel lines and a transversal.

Answer:

$\angle NOQ$ and $\angle MLJ$