Question

overleftrightarrow{qs} and overleftrightarrow{tv} are parallel lines. which angles are alternate exterior angles? angle tuw and angle sru angle tuw and angle vuw angle tuw and angle qru angle tuw and angle srp

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 $\angle TUW$ and $\angle SRU$:
• $\angle TUW$ lies outside the parallel lines $QS$ and $TV$, and $\angle SRU$ also lies outside. They are on opposite sides of the transversal $PW$.
• For $\angle TUW$ and $\angle VUW$: They are adjacent angles, so not alternate exterior angles.
• For $\angle TUW$ and $\angle QRU$: $\angle QRU$ lies inside the region between the parallel lines (not exterior), so not alternate exterior angles.
• For $\angle TUW$ and $\angle SRP$: $\angle SRP$ is not in the correct position (not on the opposite side in the exterior sense as per the definition for this pair with $\angle TUW$)

Answer:

$\angle TUW$ and $\angle SRU$