Question

given m||n, find the value of x. answer attempt 1 out of 2 x =

Explanation:

Step1: Identify angle - relationship

When two parallel lines \(m\) and \(n\) are cut by a transversal \(t\), \(x\) and the \(148^{\circ}\) angle are supplementary angles.

Step2: Use supplementary - angle property

Supplementary angles add up to \(180^{\circ}\). So \(x + 148^{\circ}=180^{\circ}\).

Step3: Solve for \(x\)

Subtract \(148^{\circ}\) from both sides of the equation: \(x=180^{\circ}- 148^{\circ}\).

Answer:

\(32\)