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 Definition

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

Step2: Analyze Each Option

• Option 1: $\angle SRP$ and $\angle SRU$: These angles share a common side and vertex, forming a linear pair or adjacent angles, not alternate interior.
• Option 2: $\angle SRU$ 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 transversal $PW$, so they are alternate interior angles.
• Option 3: $\angle SRU$ and $\angle VUW$: $\angle VUW$ is not between the two parallel lines with respect to transversal $PW$ in the correct position for alternate interior.
• Option 4: $\angle VUR$ and $\angle VUW$: These are adjacent angles (linear pair), not alternate interior.

Answer:

$\angle SRU$ and $\angle TUR$ (corresponding to the option with $\angle SRU$ and $\angle TUR$)