Question

if (overline{tv}) and (overline{wy}) are parallel lines and (mangle vux = 58^{circ}), what is (mangle tus?)

Explanation:

Step1: Identify angle - relationship

$\angle VUX$ and $\angle TUS$ are vertical - angles.

Step2: Apply vertical - angle property

Vertical angles are congruent. So, if $m\angle VUX = 58^{\circ}$, then $m\angle TUS=m\angle VUX$.

Answer:

$58^{\circ}$