Question

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

Explanation:

Step1: Use the property of supplementary angles

When two parallel lines are cut by a transversal, consecutive - interior angles are supplementary. So, \((x - 6)+60 = 180\).

Step2: Solve the equation for \(x\)

First, simplify the left - hand side of the equation: \(x-6 + 60=x + 54\). Then, we have the equation \(x+54=180\). Subtract 54 from both sides: \(x=180 - 54\).

Answer:

\(x = 126\)