Question

\overleftrightarrow{tv} and \overleftrightarrow{wy} are parallel lines.

which angles are adjacent angles?

\angle tux and \angle yxz
\angle tux and \angle wxu
\angle tux and \angle yxu
\angle tux and \angle tus

Explanation:

Step1: Recall the definition of adjacent angles

Adjacent angles share a common vertex and a common side, and have no overlapping interior points.

Step2: Analyze each option

• For $\angle TUX$ and $\angle YXZ$: They do not share a common vertex or side.
• For $\angle TUX$ and $\angle WXU$: They do not share a common vertex or side.
• For $\angle TUX$ and $\angle YXU$: They share a common vertex \(X\) (wait, no, \(\angle TUX\) has vertex \(U\) and \(\angle YXU\) has vertex \(X\), incorrect). Wait, actually, for \(\angle TUX\) and \(\angle TUS\):

They share a common vertex \(U\), a common side \(US\), and no overlapping interior points.

Answer:

\(\angle TUX\) and \(\angle TUS\)