Question

look at this diagram: if $overleftrightarrow{tv}$ and $overleftrightarrow{wy}$ are parallel lines and $mangle wxz = 131^{circ}$, what is $mangle yxz$?

Explanation:

Step1: Recall linear - pair property

The angles $\angle WXZ$ and $\angle YXZ$ form a linear - pair. A linear - pair of angles are supplementary, which means their sum is $180^{\circ}$.
Let $m\angle WXZ = 131^{\circ}$ and $m\angle YXZ=x$. Then the equation is $m\angle WXZ + m\angle YXZ=180^{\circ}$.

Step2: Solve for $m\angle YXZ$

Substitute the value of $m\angle WXZ$ into the equation:
$131^{\circ}+x = 180^{\circ}$.
To find $x$, we subtract $131^{\circ}$ from both sides of the equation:
$x=180^{\circ}- 131^{\circ}$.
$x = 49^{\circ}$.

Answer:

$49$