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 corresponding angles are equal. So, \(5x + 13=4x + 18\).

Step2: Solve the equation for \(x\)

Subtract \(4x\) from both sides of the equation: \(5x-4x+13=4x - 4x+18\), which simplifies to \(x+13 = 18\).
Then subtract \(13\) from both sides: \(x+13-13=18 - 13\).

Answer:

\(x = 5\)