Answer:
[tex]\boxed{\tt x=58^{\circ}}[/tex]
Step-by-step explanation:
From the given diagram, we see that ∠YOZ and ∠XOY are complementary angles.
Complementary angles: two angles with measures that add up to 90°.
[tex]\tt m\angle XOY+m\angle YOZ=90^{\circ}[/tex]
[tex]\tt \angle XOY+\angle YOZ=90^{\circ}[/tex]
[tex]\tt 32^{\circ}+x=90[/tex]
Subtract 32 from both sides:
[tex]\tt 32^{\circ}+x-32^{\circ}=90^{\circ}-32^{\circ}[/tex]
[tex]\tt x=58^{\circ}[/tex]
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