Question

look at this diagram: if $overleftrightarrow{tv}$ and $overleftrightarrow{wy}$ are parallel lines and $mangle yxu = 125^{circ}$, what is $mangle tux$?

Explanation:

Step1: Recall linear - pair property

Linear - pair angles are supplementary, meaning they add up to 180°. $\angle YXU$ and $\angle TUX$ form a linear - pair.
Let $m\angle YXU = 125^{\circ}$ and $m\angle TUX=x$. Then $m\angle YXU + m\angle TUX=180^{\circ}$.

Step2: Solve for $m\angle TUX$

We have the equation $125^{\circ}+x = 180^{\circ}$.
Subtract 125° from both sides: $x=180^{\circ}- 125^{\circ}$.
$x = 55^{\circ}$.

Answer:

$55$