Question

given ( mparallel n ), find the value of ( x ).

Explanation:

Step1: Use the property of vertical angles

Vertical angles are equal. So the angle adjacent to \(x\) (the one marked \(122^{\circ}\)) and \(x\) form a linear - pair.

Step2: Apply the linear - pair formula

The sum of angles in a linear pair is \(180^{\circ}\). If one angle is \(122^{\circ}\), then \(x + 122^{\circ}=180^{\circ}\).

Step3: Solve for \(x\)

Subtract \(122^{\circ}\) from both sides of the equation: \(x=180^{\circ}- 122^{\circ}\).

Answer:

\(x = 58\)