Question

look at this diagram: if $overleftrightarrow{tv}$ and $overleftrightarrow{wy}$ are parallel lines and $mangle tux = 128^{circ}$, what is $mangle yxu$?

Explanation:

Step1: Identify angle - relationship

$\angle TUX$ and $\angle YXU$ are supplementary angles since $\overleftrightarrow{TV}$ and $\overleftrightarrow{WY}$ are parallel lines and $SZ$ is a transversal.

Step2: Use the supplementary - angle formula

The sum of supplementary angles is $180^{\circ}$. Let $m\angle YXU = x$. Then $m\angle TUX+x = 180^{\circ}$. Given $m\angle TUX = 128^{\circ}$, we have $x=180 - 128$.

Step3: Calculate the angle measure

$x = 52^{\circ}$.

Answer:

$52$