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qs and tv are parallel lines. which angles are alternate interior angle…

Question

qs and tv are parallel lines. which angles are alternate interior angles? ∠tur and ∠sru ∠tur and ∠tuw ∠tur and ∠vuw ∠tur and ∠srp

Explanation:

Brief Explanations
  • Alternate interior angles are formed when a transversal intersects two parallel lines. They lie between the two parallel lines and on opposite sides of the transversal.
  • For \(\angle TUR\) and \(\angle SRU\):
  • The transversal is \(PW\), and the parallel lines are \(QS\) and \(TV\).
  • \(\angle TUR\) and \(\angle SRU\) lie between \(QS\) and \(TV\) and on opposite sides of \(PW\).
  • For \(\angle TUR\) and \(\angle TUW\): They are adjacent angles, not alternate - interior angles.
  • For \(\angle TUR\) and \(\angle VUW\): They are not in the correct position (not between the two parallel lines in the sense of alternate - interior for the given parallel lines \(QS\) and \(TV\)).
  • For \(\angle TUR\) and \(\angle SRP\): \(\angle SRP\) is not in the correct position (not between the two parallel lines \(QS\) and \(TV\) in the way required for alternate - interior angles).

Answer:

\(\angle TUR\) and \(\angle SRU\)