Question

solve for x.
10.7
18
12
19.3

Explanation:

Step1: Identify angle - relationship

Assume lines \(m\) and \(n\) are parallel and \(l\) is a transversal. The angles \(6x - 4\) and \(112^{\circ}\) are corresponding angles (or alternate - exterior/alternate - interior depending on the parallel - line properties). For parallel lines, corresponding (or alternate - exterior/alternate - interior) angles are equal. So, we set up the equation \(6x-4 = 112\).

Step2: Solve the equation for \(x\)

Add 4 to both sides of the equation: \(6x-4 + 4=112 + 4\), which simplifies to \(6x=116\). Then divide both sides by 6: \(x=\frac{116}{6}=\frac{58}{3}\approx19.3\).

Answer:

\(19.3\)