Question

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

Explanation:

Step1: Use the property of parallel lines

Since \(l\parallel m\parallel n\), the angle adjacent to \(134^{\circ}\) and \(x^{\circ}\) are supplementary.

Step2: Calculate the value of \(x\)

We know that \(x + 134=180\) (supplementary angles sum to \(180^{\circ}\)).
Subtract \(134\) from both sides: \(x=180 - 134\).
So, \(x = 46\).

Answer:

\(x = 46\)