Question

given ( l parallel m parallel n ), find the value of ( x ).

Explanation:

Step1: Use the property of parallel lines

When \( l\parallel m\parallel n\), the angles \((7x + 11)^{\circ}\) and \((3x+19)^{\circ}\) are supplementary. So, \(7x + 11+3x + 19=180\).

Step2: Simplify the equation

Combine like - terms: \(7x+3x+11 + 19=180\), which gives \(10x+30 = 180\).

Step3: Solve for \(x\)

Subtract 30 from both sides: \(10x=180 - 30\), so \(10x=150\). Then divide both sides by 10: \(x=\frac{150}{10}\).

Answer:

\(15\)