Question

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

Explanation:

Step1: Identify angle - relationship

Since \(l\parallel m\parallel n\), the angle of \(62^{\circ}\) and the angle \((9x + 19)^{\circ}\) are corresponding angles, so they are equal.
\[9x+19 = 62\]

Step2: Solve the equation for \(x\)

Subtract 19 from both sides:
\[9x=62 - 19\]
\[9x = 43\]
Then divide both sides by 9:
\[x=\frac{43}{9}\]

Answer:

\(x=\frac{43}{9}\)