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 of \(156^{\circ}\) and the angle \(x^{\circ}\) are supplementary angles.

Step2: Use the supplementary - angle property

Supplementary angles add up to \(180^{\circ}\). So we have the equation \(x + 156=180\).

Step3: Solve for \(x\)

Subtract \(156\) from both sides of the equation: \(x=180 - 156\).
\(x = 24\)

Answer:

\(24\)