Question

x 122° x = 62°

Explanation:

Step1: Identify angle - relationship

The two vertical - like lines are parallel. The given angle of \(122^{\circ}\) and the angle \(x\) are supplementary angles (they form a linear pair).

Step2: Use supplementary - angle formula

Supplementary angles add up to \(180^{\circ}\). So \(x = 180^{\circ}-122^{\circ}\).

Step3: Calculate the value of \(x\)

\(x=58^{\circ}\)

Answer:

\(58^{\circ}\)