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which angles are alternate interior angles? ∠mnl and ∠rqn ∠mnq and ∠pqn…

Question

which angles are alternate interior angles?
∠mnl and ∠rqn
∠mnq and ∠pqn
∠onq and ∠pqn
∠onq and ∠mvl
mo and pr are parallel lines.

Explanation:

Step1: Recall the definition of alternate interior angles

Alternate interior angles are non - adjacent interior angles that lie on opposite sides of the transversal.

Step2: Analyze each pair of angles

  • For \(\angle MNQ\) and \(\angle PQN\): These are adjacent angles, not alternate interior angles.
  • For \(\angle MNL\) and \(\angle RQN\): These are not alternate interior angles.
  • For \(\angle ONQ\) and \(\angle PQN\): These are non - adjacent interior angles that lie on opposite sides of the transversal \(SN\).
  • For \(\angle ONQ\) and \(\angle MNL\): These are not alternate interior angles.

Answer:

\(\angle ONQ\) and \(\angle PQN\)