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, \(4x + 9=5x - 27\).

Step2: Solve the equation for \(x\)

Subtract \(4x\) from both sides: \(4x+9 - 4x=5x - 27-4x\), which simplifies to \(9=x - 27\).
Then add 27 to both sides: \(9 + 27=x-27 + 27\).
We get \(x = 36\).

Answer:

\(x = 36\)