Question

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

Explanation:

Step1: Use property of parallel lines

Since \(m\parallel n\), the corresponding - angles are equal. So, \(x + 5=3x+7\).

Step2: Rearrange the equation

Subtract \(x\) from both sides: \(5 = 3x - x+7\), which simplifies to \(5 = 2x+7\).

Step3: Solve for \(x\)

Subtract 7 from both sides: \(5 - 7=2x\), so \(- 2 = 2x\). Then divide both sides by 2: \(x=-1\).

Answer:

\(x = - 1\)