QUESTION IMAGE
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
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 \(PR\).
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\(\angle UTQ\) and \(\angle PQT\)