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rt and dw are parallel lines. which angles are alternate exterior angle…

Question

rt and dw are parallel lines. which angles are alternate exterior angles? ∠rbq and ∠tbv ∠rbq and ∠wvx ∠rbq and ∠tbq ∠rbq and ∠wvs

Explanation:

Step1: Recall the definition of alternate exterior angles

Alternate exterior angles are non - adjacent angles that lie outside the two parallel lines and on opposite sides of the transversal.

Step2: Analyze each option

  • For \(\angle RBQ\) and \(\angle TSV\): \(\angle TSV\) is not an exterior angle with respect to the parallel lines \(UW\) and \(RT\).
  • For \(\angle RBQ\) and \(\angle WVX\): \(\angle WVX\) is not an exterior angle with respect to the parallel lines \(UW\) and \(RT\).
  • For \(\angle RBQ\) and \(\angle TBQ\): These are adjacent angles.
  • For \(\angle RBQ\) and \(\angle WVS\): \(\angle WVS\) and \(\angle RBQ\) lie outside the parallel lines \(UW\) and \(RT\) and on opposite sides of the transversal \(XQ\).

Answer:

\(\angle RBQ\) and \(\angle WVS\)