Question

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

Explanation:

Step1: Identify angle - relationship

$\angle TUX$ and $\angle TUS$ are supplementary angles.

Step2: Use supplementary - angle formula

The sum of supplementary angles is $180^{\circ}$. So $m\angle TUS=180^{\circ}-m\angle TUX$.

Step3: Substitute the given value

Given $m\angle TUX = 128^{\circ}$, then $m\angle TUS=180 - 128=52^{\circ}$.

Answer:

$52^{\circ}$