Question

rt and uw are parallel lines.
which angles are corresponding angles?
∠rsv and ∠uvs ∠rsv and ∠uvx
∠rsv and ∠tsq ∠rsv and ∠wvs

Explanation:

Step1: Recall the definition of corresponding angles

Corresponding angles are angles that are in the same relative position with respect to the parallel lines and the transversal.

Step2: Analyze each option

• For \(\angle RSV\) and \(\angle UVS\): These are alternate - interior angles (not corresponding).
• For \(\angle RSV\) and \(\angle UVX\): \(\overleftrightarrow{RT}\parallel\overleftrightarrow{UW}\) and \(\overleftrightarrow{XQ}\) is the transversal. \(\angle RSV\) and \(\angle UVX\) are in the same relative position (above the parallel lines and on the same side of the transversal).
• For \(\angle RSV\) and \(\angle TSQ\): These are vertical angles (not corresponding).
• For \(\angle RSV\) and \(\angle WVS\): These are consecutive - interior angles (not corresponding).

Answer:

\(\angle RSV\) and \(\angle UVX\)