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 consecutive interior angles are supplementary. So, \((5x + 13)+(4x + 18)=180\).

Step2: Simplify the equation

Combine like - terms: \(5x+4x+13 + 18=180\), which is \(9x+31 = 180\).

Step3: Solve for \(x\)

Subtract 31 from both sides: \(9x=180 - 31\), so \(9x=149\). Then divide both sides by 9: \(x=\frac{149}{9}\approx16.56\).

Answer:

\(x=\frac{149}{9}\)