Question

look at this diagram: if $overleftrightarrow{tv}$ and $overleftrightarrow{wy}$ are parallel lines and $mangle tus = 117^{circ}$, what is $mangle wxz$?

Explanation:

Step1: Identify angle - type relationship

$\angle TUS$ and $\angle WXZ$ are corresponding angles.

Step2: Apply property of corresponding angles

When two parallel lines are cut by a transversal, corresponding angles are congruent. Since $\overleftrightarrow{TV}$ and $\overleftrightarrow{WY}$ are parallel and $\angle TUS = 117^{\circ}$, then $\angle WXZ=\angle TUS$.

Answer:

$117$