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 of the equation: \(9x=62 - 19\), so \(9x = 43\).
Then divide both sides by 9: \(x=\frac{43}{9}\)

Answer:

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