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, \(l\parallel m\), and the angle of \(117^{\circ}\) and \(x^{\circ}\) are consecutive interior angles.
So, \(117 + x=180\)

Step2: Solve for \(x\)

Subtract \(117\) from both sides of the equation \(117 + x=180\).
\(x = 180-117\)
\(x=63\)

Answer:

\(63\)