Question

given ( lparallel mparallel 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, \(4x + 19=6x+7\).

Step2: Solve the equation for \(x\)

Subtract \(4x\) from both sides: \(19 = 2x+7\).
Subtract \(7\) from both sides: \(12=2x\).
Divide both sides by \(2\): \(x = 6\).

Answer:

\(x = 6\)