Question

given (lparallel mparallel n), find the value of (x).

Explanation:

Step1: Use property of parallel lines

Since \(l\parallel m\parallel n\), the angles \((6x - 19)^{\circ}\) and \(139^{\circ}\) are corresponding - angles or alternate - exterior angles (depending on the transversal), and they are equal. So we set up the equation \(6x-19 = 139\).
\[6x-19=139\]

Step2: Solve the equation for \(x\)

Add 19 to both sides of the equation:
\[6x-19 + 19=139 + 19\]
\[6x=158\]
Then divide both sides by 6:
\[x=\frac{158}{6}=\frac{79}{3}\approx26.33\]

Answer:

\(x = \frac{79}{3}\)