Question

look at this diagram: if $overleftrightarrow{tv}$ and $overleftrightarrow{wy}$ are parallel lines and $mangle wxu = 48^{circ}$, what is $mangle vux$?

Explanation:

Step1: Identify angle - relationship

$\angle WXU$ and $\angle VUX$ 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 $m\angle VUX=x$. We know that $m\angle WXU + x=180^{\circ}$.

Step3: Substitute and solve

Given $m\angle WXU = 48^{\circ}$, then $48^{\circ}+x = 180^{\circ}$.
$x=180^{\circ}-48^{\circ}=132^{\circ}$.

Answer:

$132$