Question

which angles are alternate exterior angles?
∠srp and ∠vuw ∠srp and ∠tur
∠srp and ∠vur ∠srp and ∠tuw

Explanation:

Step1: Recall the definition of alternate exterior angles

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

Step2: Analyze each pair

• For \(\angle SRP\) and \(\angle VUW\):
• \(\angle VUW\) and \(\angle SRP\) lie outside the two lines \(TV\) and \(QS\) (assuming \(TV\parallel QS\)) and on opposite sides of the transversal \(WP\).
• For \(\angle SRP\) and \(\angle TUR\): \(\angle TUR\) lies between the two lines \(TV\) and \(QS\), so it is not an exterior angle.
• For \(\angle SRP\) and \(\angle VUR\): \(\angle VUR\) lies between the two lines \(TV\) and \(QS\), so it is not an exterior angle.
• For \(\angle SRP\) and \(\angle TUW\): \(\angle TUW\) and \(\angle SRP\) are not on opposite sides of the transversal.

Answer:

\(\angle SRP\) and \(\angle VUW\)