Question

look at this diagram: if (overleftrightarrow{tv}) and (overleftrightarrow{wy}) are parallel lines and (mangle wxu = 50^{circ}), what is (mangle vux?)

Explanation:

Step1: Identify angle - relationship

$\overleftrightarrow{TV}$ and $\overleftrightarrow{WY}$ are parallel lines and $\angle{WXU}$ and $\angle{VUX}$ are alternate - interior angles.

Step2: Apply the property of alternate - interior angles

Alternate - interior angles formed by two parallel lines and a transversal are congruent. So, $m\angle{VUX}=m\angle{WXU}$.

Answer:

$50$