Question

look at this diagram: if (overleftrightarrow{tv}) and (overleftrightarrow{wy}) are parallel lines and (mangle vux = 55.4^{circ}), what is (mangle tus?)

Explanation:

Step1: Identify vertical - angle relationship

Vertical angles are equal. $\angle VUX$ and $\angle TUS$ are vertical angles.

Step2: Apply the vertical - angle property

Since vertical angles are congruent, if $m\angle VUX = 55.4^{\circ}$, then $m\angle TUS=m\angle VUX$.

Answer:

$55.4$