Question

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

Explanation:

Step1: Recall the definition of alternate interior angles

Alternate interior angles are non - adjacent interior angles that lie on opposite sides of the transversal.

Step2: Analyze each pair

• For \(\angle TUS\) and \(\angle TUX\): They are adjacent, so not alternate interior angles.
• For \(\angle YXZ\) and \(\angle YXU\): They are adjacent, so not alternate interior angles.
• For \(\angle YXU\) and \(\angle TUX\): They are adjacent, so not alternate interior angles.
• For \(\angle VUS\) and \(\angle TUX\): They are non - adjacent interior angles lying on opposite sides of the transversal \(ZS\).

Answer:

\(\angle VUS\) and \(\angle TUX\)