## Geometry: Common Core (15th Edition)

$x = 122$ $w = 90$
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, $m \angle w = 90^{\circ}$. $w = 90$