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km and np are parallel lines. which angles are corresponding angles? ∠p…

Question

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

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

  • $\angle POL$ and $\angle NOQ$ are vertical - angles.
  • $\angle POL$ and $\angle MLJ$: Since $\overleftrightarrow{KM}\parallel\overleftrightarrow{NP}$, and $\angle POL$ and $\angle MLJ$ are in the same relative position with respect to the parallel lines and the transversal $\overleftrightarrow{QJ}$, they are corresponding angles.
  • $\angle POL$ and $\angle KLJ$: They are not in the same relative position for corresponding - angles.
  • $\angle POL$ and $\angle KLO$: They are not corresponding angles.

Answer:

$\angle POL$ and $\angle MLJ$