Question

qs and tv are parallel lines. which angles are alternate exterior angles? ∠srp and ∠tuw ∠srp and ∠vur ∠srp and ∠sru ∠srp and ∠qru

Explanation:

Step1: Recall alternate exterior angles definition

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 \(\angle SRP\) and \(\angle TUW\):
• \(\overleftrightarrow{QS}\parallel\overleftrightarrow{TV}\) and \(\overleftrightarrow{PW}\) is the transversal.
• \(\angle SRP\) lies outside \(\overleftrightarrow{QS}\) and \(\overleftrightarrow{TV}\) on one side of \(\overleftrightarrow{PW}\), and \(\angle TUW\) lies outside \(\overleftrightarrow{QS}\) and \(\overleftrightarrow{TV}\) on the opposite side of \(\overleftrightarrow{PW}\).
• For \(\angle SRP\) and \(\angle VUR\): \(\angle VUR\) is not an exterior angle.
• For \(\angle SRP\) and \(\angle SRU\): These are adjacent angles.
• For \(\angle SRP\) and \(\angle QRU\): These are supplementary adjacent angles.

Answer:

\(\angle SRP\) and \(\angle TUW\)