Question

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, \(2x - 19=6x - 9\).

Step2: Rearrange the equation

Subtract \(2x\) from both sides: \(-19 = 6x-9 - 2x\), which simplifies to \(-19 = 4x-9\).

Step3: Solve for \(x\)

Add 9 to both sides: \(-19 + 9=4x\), so \(-10 = 4x\). Then divide both sides by 4: \(x=-\frac{10}{4}=-\frac{5}{2}=-2.5\).

Answer:

\(x = - 2.5\)