Question

rt and uw are parallel lines. which angles are alternate interior angles? ∠wvx and ∠rsq ∠uvx and ∠wvs ∠tsv and ∠uvs ∠wvx and ∠uvx

Explanation:

Step1: Recall the definition of alternate interior angles

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

Step2: Analyze each option

• For \(\angle WVX\) and \(\angle RSQ\): \(\angle WVX\) is below the parallel line \(\overleftrightarrow{UW}\), \(\angle RSQ\) is above the parallel line \(\overleftrightarrow{RT}\). They are not between the two parallel lines, so they are not alternate interior angles.
• For \(\angle UVX\) and \(\angle WVS\): \(\angle UVX\) and \(\angle WVS\) are not in the correct position with respect to the parallel lines and the transversal.
• For \(\angle TSV\) and \(\angle UVS\): Since \(\overleftrightarrow{RT}\parallel\overleftrightarrow{UW}\) and \(XQ\) is the transversal. \(\angle TSV\) and \(\angle UVS\) lie between \(\overleftrightarrow{RT}\) and \(\overleftrightarrow{UW}\) and on opposite sides of the transversal \(XQ\).
• For \(\angle WVX\) and \(\angle UVX\): These two angles are adjacent, not alternate interior angles.

Answer:

\(\angle TSV\) and \(\angle UVS\)