Question

look at this diagram: if (overleftrightarrow{tv}) and (overleftrightarrow{wy}) are parallel lines and (mangle tus = 114.2^{circ}), what is (mangle yxu?)

Explanation:

Step1: Identify angle - relationship

$\angle TUS$ and $\angle YXU$ are vertical angles.

Step2: Recall vertical - angle property

Vertical angles are congruent. So $m\angle YXU=m\angle TUS$.

Answer:

$114.2$