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, \(8x - 9=6x + 1\).

Step2: Isolate the variable \(x\)

Subtract \(6x\) from both sides: \(8x-6x - 9=6x-6x + 1\), which simplifies to \(2x-9 = 1\).

Step3: Solve for \(x\)

Add 9 to both sides: \(2x-9 + 9=1 + 9\), so \(2x=10\). Then divide both sides by 2: \(x = 5\).

Answer:

\(x = 5\)