Question

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

Explanation:

Step1: Use property of parallel - lines

When two parallel lines \(m\) and \(n\) are cut by a transversal, the corresponding angles are equal. Here, the angles \((4x + 4)^{\circ}\) and \((5x-14)^{\circ}\) are corresponding angles. So we set up the equation \(4x + 4=5x - 14\).

Step2: Solve the equation for \(x\)

Subtract \(4x\) from both sides of the equation: \(4x+4-4x=5x - 14-4x\), which simplifies to \(4=x - 14\). Then add 14 to both sides: \(4 + 14=x-14 + 14\).

Answer:

\(x = 18\)