Question

overrightarrow{rt} and overrightarrow{uw} are parallel lines. which angles are alternate exterior angles? angle tsq and angle tsv angle tsq and angle rsv angle tsq and angle uvx angle tsq and angle rsq

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 \(\angle TSQ\) and \(\angle TSV\): These angles are adjacent, so they are not alternate exterior angles.
• For \(\angle TSQ\) and \(\angle RSV\): These angles are vertical angles, not alternate exterior angles.
• For \(\angle TSQ\) and \(\angle UVX\): \(\overrightarrow{RT}\parallel\overrightarrow{UW}\), and \(QX\) is the transversal. \(\angle TSQ\) and \(\angle UVX\) lie outside the parallel lines \(RT\) and \(UW\) and on opposite sides of the transversal \(QX\).
• For \(\angle TSQ\) and \(\angle RSQ\): These angles are adjacent, so they are not alternate exterior angles.

Answer:

\(\angle TSQ\) and \(\angle UVX\)