Question

select all the pairs of alternate interior angles.
∠yxu and ∠tux ∠wxu and ∠vux
∠vus and ∠vux ∠tus and ∠wxz

Explanation:

Step1: Recall Alternate Interior Angles Definition

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

Step2: Analyze Each Pair

• For \( \angle YXU \) and \( \angle TUX \): \( \angle YXU \) is below line \( WY \), \( \angle TUX \) is above line \( TV \), not between the lines. Eliminate.
• For \( \angle WXU \) and \( \angle VUX \): \( \angle WXU \) is between \( TV \) and \( WY \), left of transversal \( SZ \); \( \angle VUX \) is between \( TV \) and \( WY \), right of transversal \( SZ \). This fits alternate interior angles.
• For \( \angle VUS \) and \( \angle VUX \): \( \angle VUS \) is above \( TV \), not interior. Eliminate.
• For \( \angle TUS \) and \( \angle WXZ \): \( \angle TUS \) is above \( TV \), \( \angle WXZ \) is below \( WY \), not interior. Eliminate.

Answer:

\( \angle WXU \) and \( \angle VUX \)