Question

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

Explanation:

Step1: Recall alternate - interior angles definition

Alternate - interior angles are formed when a transversal intersects two lines. They are between the two lines and on opposite sides of the transversal.

Step2: Analyze each option

• For $\angle TUR$ and $\angle SRU$: They are between lines $QT$ and $SV$ and on opposite sides of transversal $PW$, so they are alternate - interior angles.
• $\angle QRP$ and $\angle SRP$ are adjacent angles, not alternate - interior angles.
• $\angle SRP$ and $\angle SRU$ are adjacent angles, not alternate - interior angles.
• $\angle VUW$ and $\angle TUR$ are vertical angles, not alternate - interior angles.

Answer:

$\angle TUR$ and $\angle SRU$