Question

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

Explanation:

Step1: Recall the definition of 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 $\angle VUW$ and $\angle SRP$: They do not lie between the two parallel - like lines (assuming $QS$ and $TV$ are the 'parallel - like' lines here) in the correct alternate interior position.
• For $\angle TUR$ and $\angle SRP$: They do not meet the criteria of alternate interior angles as they are not in the proper position between the two lines and on opposite sides of the transversal.
• For $\angle TUW$ and $\angle TUR$: These are adjacent angles, not alternate interior angles.
• For $\angle SRU$ and $\angle TUR$:
• Assume $QS$ and $TV$ are two lines and $PW$ is the transversal.
• $\angle SRU$ and $\angle TUR$ lie between $QS$ and $TV$ and on opposite sides of the transversal $PW$.

Answer:

$\angle SRU$ and $\angle TUR$