Question

tv and wy are parallel lines. which angles are alternate exterior angles? ∠vus and ∠vux ∠vus and ∠wxz ∠vus and ∠yxz ∠vus and ∠wxu

Explanation:

Step1: Recall the definition of alternate exterior angles

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

Step2: Analyze each pair

• For \(\angle VUS\) and \(\angle VUX\): These are adjacent angles, so they are not alternate exterior angles.
• For \(\angle VUS\) and \(\angle WXZ\): \(\overleftrightarrow{TV}\parallel\overleftrightarrow{WY}\) and \(\overleftrightarrow{ZS}\) is the transversal. \(\angle VUS\) and \(\angle WXZ\) are non - adjacent exterior angles and lie on opposite sides of the transversal \(\overleftrightarrow{ZS}\).
• For \(\angle VUS\) and \(\angle YXZ\): These angles do not satisfy the position requirements of alternate exterior angles.
• For \(\angle VUS\) and \(\angle WXU\): These are not exterior angles in the sense of alternate exterior angles (also, their position relationship is not correct for alternate exterior angles).

Answer:

\(\angle VUS\) and \(\angle WXZ\)