Question

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

Explanation:

Step1: Identify angle - relationship

Since \(m\parallel n\), the two given angles \((5x - 14)^{\circ}\) and \((4x + 4)^{\circ}\) are corresponding angles and are equal. So we set up the equation \(5x-14 = 4x + 4\).

Step2: Solve the equation for \(x\)

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

Answer:

\(x = 18\)