Question

given $l \parallel m \parallel n$, find the value of $x$.

Explanation:

Step1: Identify supplementary angles

Since the two angles \((x - 6)^\circ\) and \(60^\circ\) are supplementary (they form a linear pair), their sum is \(180^\circ\).
So, we can write the equation: \((x - 6)+60 = 180\)

Step2: Solve for x

Simplify the left side: \(x + 54 = 180\)
Subtract 54 from both sides: \(x = 180 - 54\)
\(x = 126\)

Answer:

\(x = 126\)