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, \(7x + 9=6x + 10\).

Step2: Solve the equation for \(x\)

Subtract \(6x\) from both sides: \(7x-6x + 9=6x-6x + 10\), which simplifies to \(x+9 = 10\). Then subtract 9 from both sides: \(x=10 - 9\).

Answer:

\(x = 1\)