Question

in the figure shown, line m is parallel to line n. what is the value of x? a 3 b 42 c 48 d 138

Explanation:

Step1: Identify angle - relationship

When two parallel lines \(m\) and \(n\) are cut by a transversal \(l\), the corresponding angles are equal. The angle of \(x^{\circ}\) and the \(42^{\circ}\) angle are corresponding angles.

Step2: Set up the equation

Since corresponding angles are equal for parallel lines cut by a transversal, we have \(x = 42\).

Answer:

B. 42