Question

answer attempt 2 out of 2
$x =$
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Explanation:

Step1: Recall exterior - angle property

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles. In the given right - triangle, the exterior angle is 112°, and the two non - adjacent interior angles are \(x\) and 90°.
So, \(x + 90^{\circ}=112^{\circ}\).

Step2: Solve for \(x\)

Subtract 90° from both sides of the equation: \(x=112^{\circ}-90^{\circ}\).
\(x = 22^{\circ}\)

Answer:

\(22\)