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 \(t\), the corresponding angles are equal. So, \(8x + 4=9x - 9\).

Step2: Solve for \(x\)

Subtract \(8x\) from both sides: \(8x+4 - 8x=9x - 9-8x\), which simplifies to \(4=x - 9\).
Then add 9 to both sides: \(4 + 9=x-9 + 9\).

Answer:

\(x = 13\)