Question

which angles are alternate interior angles?
∠srp and ∠sru
∠sru and ∠tur
∠sru and ∠vuw
∠vur and ∠vuw

Explanation:

Step1: Recall Alternate Interior Angles

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

Step2: Analyze Each Option

• For $\angle SRP$ and $\angle SRU$: These angles share a common side and vertex, they are adjacent angles, not alternate interior.
• For $\angle SRU$ and $\angle TUR$: The lines $QS$ and $TV$ are parallel (implied by the diagram's structure), and transversal $PW$ crosses them. $\angle SRU$ and $\angle TUR$ lie between $QS$ and $TV$, on opposite sides of $PW$, so they are alternate interior angles.
• For $\angle SRU$ and $\angle VUW$: $\angle VUW$ is not between the two parallel lines with respect to transversal $PW$ in the correct way, so not alternate interior.
• For $\angle VUR$ and $\angle VUW$: These are adjacent angles, not alternate interior.

Answer:

$\angle SRU$ and $\angle TUR$