Question

look at this diagram: if (overleftrightarrow{tv}) and (overleftrightarrow{wy}) are parallel lines and (mangle wxz = 116.6^{circ}), what is (mangle yxu)

Explanation:

Step1: Identify vertical - angle relationship

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

Step2: Apply vertical - angle property

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

Answer:

$116.6$