Question

look at this diagram: if $overleftrightarrow{tv}$ and $overleftrightarrow{wy}$ are parallel lines and $mangle tux = 46^{circ}$, what is $mangle yxu$? submit

Explanation:

Step1: Identify angle - relationship

$\angle TUX$ and $\angle YXU$ are same - side interior angles.

Step2: Recall property of parallel lines

For parallel lines $\overleftrightarrow{TV}$ and $\overleftrightarrow{WY}$, same - side interior angles are supplementary. That is, $m\angle TUX + m\angle YXU=180^{\circ}$.

Step3: Solve for $m\angle YXU$

$m\angle YXU = 180^{\circ}-m\angle TUX$. Given $m\angle TUX = 46^{\circ}$, then $m\angle YXU=180 - 46=134^{\circ}$.

Answer:

$134$