Question

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

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

For the given lines \(UW\) and \(RT\) with transversal \(XQ\):

• \(\angle RSQ\) and \(\angle TSV\) are vertical angles.
• \(\angle UVS\) and \(\angle UNX\) are not related in the context of alternate - exterior angles.
• \(\angle RSQ\) and \(\angle UVX\): \(\angle RSQ\) and \(\angle UVX\) are non - adjacent, lie outside lines \(UW\) and \(RT\) and on opposite sides of transversal \(XQ\).
• \(\angle WVX\) and \(\angle RSQ\) are not alternate - exterior angles.

Answer:

\(\angle RSQ\) and \(\angle UVX\)