Question

which angles are alternate interior angles? ∠tus and ∠yxz, ∠wxz and ∠tus, ∠tux and ∠yxu, ∠wxu and ∠vus

Explanation:

Step1: Recall alternate - interior angles definition

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

Step2: Analyze each option

• For $\angle TUS$ and $\angle YXZ$, they are on the inside of the two lines $WY$ and $TV$ and on opposite sides of the transversal $ZS$.
• $\angle WXZ$ and $\angle TUS$ are not alternate - interior angles as they are not in the correct relative position.
• $\angle TUX$ and $\angle YXU$ are adjacent angles, not alternate - interior angles.
• $\angle WXU$ and $\angle VUS$ are not alternate - interior angles as they are not in the correct relative position.

Answer:

$\angle TUS$ and $\angle YXZ$