Answer
$\angle x\ and\ \angle z\ are\ 134^o$
$\angle y\ is\ 46^o$
Work Step by Step
When parallel lines are cut by a transversal, corresponding angles are equal. $\angle y$ is equal to the $46^o$ angle.
$\angle x$ and the $46^o$ angle are supplementary.
$\angle x=180^o-46^o=134^o$
$\angle x\ and\ \angle z$ are corresponding angles.
$\angle z=\angle x=134^o$
