Question

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

Explanation:

Step1: Use corresponding - angles property

Since \(m\parallel n\), the corresponding angles are equal. So, \(5x - 14=4x + 4\).

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:

\(x = 18\)