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:

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