Question

look at this diagram: if $overleftrightarrow{tv}$ and $overleftrightarrow{wy}$ are parallel lines and $mangle wxz = 66^{circ}$, what is $mangle tux$?

Explanation:

Step1: Identify angle - relationship

$\angle WXZ$ and $\angle TUX$ are alternate - interior angles.

Step2: Apply property of alternate - interior angles

When two parallel lines are cut by a transversal, alternate - interior angles are congruent. Since $\overleftrightarrow{TV}$ and $\overleftrightarrow{WY}$ are parallel and $\angle WXZ = 66^{\circ}$, then $m\angle TUX=m\angle WXZ$.

Answer:

$66$