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which angles are corresponding angles? ∠rqn and ∠onl ∠rqn and ∠pqs ∠rqn…

Question

which angles are corresponding angles? ∠rqn and ∠onl ∠rqn and ∠pqs ∠rqn and ∠mnl ∠rqn and ∠mnq

Explanation:

Step1: Recall corresponding - angles definition

Corresponding angles are in the same relative position at each intersection where a straight - line crosses two others.

Step2: Analyze each option

  • For $\angle RQN$ and $\angle ONL$, they are not in the same relative position.
  • For $\angle RQN$ and $\angle PQS$, they are vertical angles.
  • For $\angle RQN$ and $\angle MNL$, when the transversal $SL$ intersects lines $PR$ and $MO$, $\angle RQN$ and $\angle MNL$ are in the same relative position (both are above the intersected lines and on the same side of the transversal).
  • For $\angle RQN$ and $\angle MNQ$, they are not corresponding angles.

Answer:

$\angle RQN$ and $\angle MNL$