Question

(overleftrightarrow{tv}) and (overleftrightarrow{wy}) are parallel lines. which angles are alternate exterior angles? ( angle yxz ) and ( angle vux ) ( angle yxz ) and ( angle wxu ) ( angle yxz ) and ( angle tus ) ( angle yxz ) and ( angle vus )

Explanation:

Step1: Recall the definition of alternate exterior angles

Alternate exterior angles are non - adjacent angles that lie outside the two parallel lines and on opposite sides of the transversal.

Step2: Analyze each option

• For $\angle YXZ$ and $\angle VUX$: $\angle VUX$ is not an exterior angle.
• For $\angle YXZ$ and $\angle WXU$: $\angle WXU$ is not an exterior angle.
• For $\angle YXZ$ and $\angle TUS$: $\angle TUS$ is an exterior angle, $\angle YXZ$ is an exterior angle. They lie outside the parallel lines $TV$ and $WY$ and on opposite sides of the transversal $SZ$.
• For $\angle YXZ$ and $\angle VUS$: $\angle VUS$ and $\angle YXZ$ are not on opposite sides of the transversal in the correct sense for alternate exterior angles.

Answer:

$\angle YXZ$ and $\angle TUS$