Question

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

Explanation:

Step1: Apply the property of parallel lines

When two parallel lines are cut by a transversal, the corresponding angles are equal. Here, since \( l\parallel m\parallel n\), we can set up the equation \(5x + 13=4x + 18\) based on the property of parallel lines and transversals.

Step2: Solve the equation for \(x\)

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

Answer:

\(x = 5\)