Question

which angles are alternate exterior angles? ∠uvs and ∠tsv ∠wvx and ∠rsq ∠wvs and ∠uvx ∠rsq and ∠uvx

Explanation:

Step1: Recall alternate - exterior angles definition

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

Step2: Analyze each option

• $\angle UVS$ and $\angle TSV$ are adjacent angles, so they are not alternate - exterior angles.
• $\angle WVX$ and $\angle RSQ$: $\angle WVX$ and $\angle RSQ$ are non - adjacent, lie outside the lines $RT$ and $UW$ and on opposite sides of the transversal $QX$.
• $\angle WVS$ and $\angle UVX$ are vertical angles, not alternate - exterior angles.
• $\angle RSQ$ and $\angle UVX$ are not in the correct position to be alternate - exterior angles.

Answer:

$\angle WVX$ and $\angle RSQ$