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, \(9x - 7=8x - 4\).

Step2: Solve the equation for \(x\)

Subtract \(8x\) from both sides: \(9x-8x - 7=8x-8x - 4\), which simplifies to \(x - 7=-4\).
Then add 7 to both sides: \(x-7 + 7=-4 + 7\).

Answer:

\(x = 3\)