Question

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

Explanation:

Step1: Use corresponding - angles property

Since \(l\parallel m\parallel n\), the angle \((6x)^{\circ}\) and the \(60^{\circ}\) angle are corresponding angles. Corresponding angles formed by parallel lines are equal. So, \(6x = 60\).

Step2: Solve for \(x\)

Divide both sides of the equation \(6x = 60\) by 6. We get \(x=\frac{60}{6}\).

Answer:

\(x = 10\)