Question

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Explanation:

Step1: Use the property of right - angle

In a right - angle, the sum of two non - right angles is \(90^{\circ}\). So we have the equation \(22^{\circ}+4x = 90^{\circ}\).

Step2: Solve the equation for \(x\)

Subtract \(22^{\circ}\) from both sides of the equation: \(4x=90^{\circ}-22^{\circ}\). Then \(4x = 68^{\circ}\). Divide both sides by \(4\): \(x=\frac{68^{\circ}}{4}=17^{\circ}\).

Answer:

\(x = 17^{\circ}\)