Question

What is the measure of 22?

Angles are not necessarily drawn to scale.
X
Y
32
Z

Answer 1

`\boxed{\tt x=58^(\circ)}`

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°.

`\tt m\angle XOY+m\angle YOZ=90^(\circ)`

`\tt \angle XOY+\angle YOZ=90^(\circ)`

`\tt 32^(\circ)+x=90`

Subtract 32 from both sides:

`\tt 32^(\circ)+x-32^(\circ)=90^(\circ)-32^(\circ)`

`\tt x=58^(\circ)`

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