Question

look at this diagram: if $overleftrightarrow{tv}$ and $overleftrightarrow{wy}$ are parallel lines and $mangle yxu = 117^{circ}$, what is $mangle wxu$?

Explanation:

Step1: Recall angle - addition property

The sum of $\angle WXU$ and $\angle YXU$ is a straight - angle. A straight - angle measures $180^{\circ}$. So, $m\angle WXU + m\angle YXU=180^{\circ}$.

Step2: Solve for $m\angle WXU$

We know that $m\angle YXU = 117^{\circ}$. Substitute this value into the equation $m\angle WXU+117^{\circ}=180^{\circ}$. Then $m\angle WXU=180^{\circ}-117^{\circ}$.
$m\angle WXU = 63^{\circ}$

Answer:

$63$