Question

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

Explanation:

Step1: Use corresponding - angles property

Since \(l\parallel m\parallel n\), the angles \((6x)^{\circ}\) and \((7x - 20)^{\circ}\) are corresponding angles and are equal. So we set up the equation \(6x=7x - 20\).

Step2: Solve the equation for \(x\)

Subtract \(6x\) from both sides of the equation: \(0 = 7x-6x - 20\).
Simplify to get \(x - 20=0\). Then add 20 to both sides: \(x = 20\).

Answer:

\(x = 20\)