Question

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

Explanation:

Step1: Use the property of parallel lines

When two parallel lines are cut by a transversal, consecutive interior angles are supplementary. Here, \(x\) and \(65^{\circ}\) are consecutive interior angles.
So, \(x + 65^{\circ}=180^{\circ}\)

Step2: Solve for \(x\)

Subtract \(65^{\circ}\) from both sides of the equation:
\(x=180^{\circ}- 65^{\circ}\)
\(x = 115^{\circ}\)

Answer:

\(115\)