Question

select all the pairs of alternate interior angles.
∠vuw and ∠srp ∠srp and ∠sru
∠vur and ∠qru ∠tur and ∠sru

Explanation:

Step1: Recall alternate interior angles

Alternate interior angles are formed when a transversal crosses two parallel lines. They lie between the two lines and on opposite sides of the transversal.

Step2: Analyze each pair

• $\angle VUW$ and $\angle SRP$: $\angle VUW$ is not between the two parallel lines (QS and TV), so not alternate interior.
• $\angle SRP$ and $\angle SRU$: These are adjacent angles, not alternate interior.
• $\angle VUR$ and $\angle QRU$: $\angle VUR$ and $\angle QRU$ lie between the parallel lines QS and TV, on opposite sides of transversal PW. So they are alternate interior angles.
• $\angle TUR$ and $\angle SRU$: $\angle TUR$ and $\angle SRU$ lie between the parallel lines QS and TV, on opposite sides of transversal PW. So they are alternate interior angles.

Answer:

$\angle VUR$ and $\angle QRU$, $\angle TUR$ and $\angle SRU$