Answer
$\angle x=58^{\circ}$
Work Step by Step
We can see, that the sum of the two angles ($32^{\circ}$ and $x$) is a right angle ($90^{\circ}$).
This means that the two angles are complementary.
We can write the following equation:
$32^{\circ}+\angle x=90^{\circ}$
$\angle x=90^{\circ}-32^{\circ}$
$\angle x=58^{\circ}$
