Question

given m||n, find the value of x.

Explanation:

Step1: Use the property of supplementary angles

Since \(m\parallel n\), the sum of \((6x - 7)^{\circ}\) and \((3x + 16)^{\circ}\) is \(180^{\circ}\).
So, \((6x-7)+(3x + 16)=180\).

Step2: Simplify the equation

Combine like - terms: \(6x+3x-7 + 16=180\), which is \(9x+9 = 180\).

Step3: Solve for \(x\)

Subtract \(9\) from both sides: \(9x=180 - 9=171\).
Divide both sides by \(9\): \(x=\frac{171}{9}=19\).

Answer:

\(19\)