Question

which angles are corresponding angles? ∠pol and ∠mlj ∠pol and ∠klo ∠pol and ∠poq ∠pol and ∠noq

Explanation:

Step1: Recall corresponding - angles definition

Corresponding angles are in the same relative position with respect to the transversal and the parallel - like lines. When two lines are cut by a transversal, corresponding angles are congruent if the lines are parallel.

Step2: Analyze each option

• For $\angle POL$ and $\angle MLJ$: $\angle POL$ and $\angle MLJ$ are in the same relative position with respect to the transversal $JQ$ and the lines $KP$ and $MN$. They are corresponding angles.
• For $\angle POL$ and $\angle KLO$: $\angle POL$ and $\angle KLO$ are vertical angles, not corresponding angles.
• For $\angle POL$ and $\angle POQ$: $\angle POL$ and $\angle POQ$ are adjacent angles, not corresponding angles.
• For $\angle POL$ and $\angle NOQ$: $\angle POL$ and $\angle NOQ$ have no special angle - relationship like corresponding angles.

Answer:

$\angle POL$ and $\angle MLJ$