Question

look at this diagram: if (overleftrightarrow{tv}) and (overleftrightarrow{wy}) are parallel lines and (mangle wxu = 128^{circ}), what is (mangle tus?)

Explanation:

Step1: Identify angle - type relationship

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

Step2: Apply property of corresponding angles

For parallel lines $\overleftrightarrow{TV}$ and $\overleftrightarrow{WY}$, corresponding angles are congruent. So $m\angle TUS=m\angle WXU$.

Answer:

$128$