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

Answer:

(x = 46)

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).