Answer
$x = 122$
$w = 90$
Work Step by Step
We can find $x$ because $x$ and its adjacent angle are supplementary angles. We can set up an equation using this information:
$x = 180 - 58$
Subtract to solve for $x$:
$x = 122$
We can also find $w$ because $w$ and its adjacent angle are also supplementary angles. The adjacent angle is a right angle, so it measures $90^{\circ}$; therefore, $m \angle w = 90^{\circ}$.
$w = 90$
