Question

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

Explanation:

Step1: Identify supplementary angles

On line $n$, the angles $(x-6)^\circ$ and $60^\circ$ are supplementary, so their sum is $180^\circ$.
$(x-6) + 60 = 180$

Step2: Simplify and solve for $x$

Combine constants, then isolate $x$.
$x + 54 = 180$
$x = 180 - 54$

Answer:

$126$