Question

given m||n, find the value of x.

Explanation:

Step1: Identify angle - relationship

When two parallel lines \(m\) and \(n\) are cut by a transversal \(t\), the angle \(x\) and the \(158^{\circ}\) angle are supplementary angles.

Step2: Use the supplementary - angle formula

Supplementary angles add up to \(180^{\circ}\). So \(x + 158^{\circ}=180^{\circ}\).

Step3: Solve for \(x\)

Subtract \(158^{\circ}\) from both sides of the equation: \(x=180^{\circ}- 158^{\circ}\).

Answer:

\(22\)