Question

pr and su are parallel lines. which angles are alternate exterior angles? ∠rqo and ∠utv ∠rqo and ∠utq ∠rqo and ∠stv ∠rqo and ∠rqt

Explanation:

Step1: Recall the definition of alternate exterior angles

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

Step2: Analyze each option

• For \(\angle RQO\) and \(\angle UTV\):
• \(\angle RQO\) is an exterior angle formed by transversal \(VO\) and line \(PR\).
• \(\angle UTV\) is an exterior angle formed by transversal \(VO\) and line \(SU\).
• They lie on opposite sides of the transversal \(VO\) and are non - adjacent.
• For \(\angle RQO\) and \(\angle UTQ\): \(\angle UTQ\) is an interior angle, so this pair is not alternate exterior angles.
• For \(\angle RQO\) and \(\angle STV\): \(\angle STV\) and \(\angle RQO\) do not satisfy the non - adjacent and opposite side of transversal condition for alternate exterior angles.
• For \(\angle RQO\) and \(\angle RQT\): These two angles are adjacent, so they are not alternate exterior angles.

Answer:

\(\angle RQO\) and \(\angle UTV\)