Question

\overleftrightarrow {tv} and \overleftrightarrow {wy} are parallel lines. which angles are corresponding angles? \angle wxz and \angle tux \angle yxz and \angle yxu \angle tus and \angle tux \angle wxu and \angle yxu

Explanation:

Step1: Recall the definition of corresponding angles

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

Step2: Analyze each option

• For \(\angle WXZ\) and \(\angle TUX\):
• \(\overrightarrow{TV}\parallel\overrightarrow{WY}\), and \(ZS\) is a transversal.
• \(\angle WXZ\) and \(\angle TUX\) are in the same relative position (both are on the same - side of the transversal \(ZS\) and above the parallel lines \(\overrightarrow{WY}\) and \(\overrightarrow{TV}\) respectively).
• For \(\angle YXZ\) and \(\angle YXU\): These are adjacent angles, not corresponding angles.
• For \(\angle TUS\) and \(\angle TUX\): These are adjacent angles, not corresponding angles.
• For \(\angle WXU\) and \(\angle YXU\): These are adjacent angles, not corresponding angles.

Answer:

\(\angle WXZ\) and \(\angle TUX\)