Question

look at this diagram: if $overleftrightarrow{tv}$ and $overleftrightarrow{wy}$ are parallel lines and $mangle tux = 51.6^{circ}$, what is $mangle yxu$?

Explanation:

Step1: Identify angle - relationship

$\angle TUX$ and $\angle YXU$ are supplementary angles (linear - pair of angles formed by a transversal intersecting two parallel lines).

Step2: Use the supplementary - angle formula

The sum of supplementary angles is $180^{\circ}$. Let $m\angle TUX = 51.6^{\circ}$ and $m\angle YXU=x$. Then $x + 51.6^{\circ}=180^{\circ}$.

Step3: Solve for $x$

$x=180^{\circ}- 51.6^{\circ}=128.4^{\circ}$

Answer:

$128.4$