Question

given (lparallel mparallel n), find the value of (x).

Explanation:

Step1: Use property of parallel lines

Since \(l\parallel m\parallel n\), the corresponding angles are equal. So, \(3x + 6=126\).

Step2: Solve the equation for \(x\)

Subtract 6 from both sides: \(3x=126 - 6\), which simplifies to \(3x = 120\). Then divide both sides by 3: \(x=\frac{120}{3}=40\).

Answer:

\(40\)