Question

look at this diagram: if $overleftrightarrow{tv}$ and $overleftrightarrow{wy}$ are parallel lines and $mangle tux = 119^{circ}$, what is $mangle wxu$?

Explanation:

Step1: Identify angle - relationship

$\angle TUX$ and $\angle WXU$ are same - side interior angles.

Step2: Recall angle - property

Same - side interior angles of parallel lines are supplementary, i.e., their sum is $180^{\circ}$.
Let $m\angle WXU=x$. Then $m\angle TUX + x=180^{\circ}$.

Step3: Solve for the angle

Given $m\angle TUX = 119^{\circ}$, we have $x=180^{\circ}-119^{\circ}=61^{\circ}$.

Answer:

$61$