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pr and su are parallel lines. which angles are alternate interior angle…

Question

pr and su are parallel lines. which angles are alternate interior angles? ∠utq and ∠stv ∠utq and ∠rqo ∠utq and ∠pqt ∠utq and ∠stq

Explanation:

Brief Explanations

Alternate interior angles are formed when a transversal crosses two parallel lines. They lie between the two parallel lines and on opposite sides of the transversal.

  • For \(\angle UTQ\) and \(\angle PQT\):
  • The parallel lines are \(SU\) and \(PR\).
  • The transversal is \(VQ\).
  • \(\angle UTQ\) and \(\angle PQT\) are between \(SU\) and \(PR\) and on opposite sides of \(VQ\).
  • For \(\angle UTQ\) and \(\angle STV\): \(\angle STV\) is not between the parallel lines \(SU\) and \(PR\).
  • For \(\angle UTQ\) and \(\angle RQO\): \(\angle RQO\) is not between the parallel lines \(SU\) and \(PR\) (it is outside the region between \(SU\) and \(PR\)).
  • For \(\angle UTQ\) and \(\angle STQ\): These two angles are adjacent (they share a common side \(TQ\)) and not on opposite sides of a transversal in the context of the parallel lines \(SU\) and \(PR\).

Answer:

\(\angle UTQ\) and \(\angle PQT\)