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to find that missing angle

Question

to find that missing angle

Explanation:

Step1: Find the adjacent angle

The adjacent angle to \(122^{\circ}\) is \(180 - 122=58^{\circ}\) (supplementary angles).

Step2: Use triangle angle sum property

In a right - angled triangle, the sum of angles is \(180^{\circ}\). Let \(x\) be the unknown angle. We know one angle is \(90^{\circ}\) (right angle) and another is \(58^{\circ}\). So \(x=180-(90 + 58)\).

$$x=180 - 148=32^{\circ}$$

Answer:

\(32^{\circ}\)