Question

given ( l parallel m parallel n ), find the value of ( x ).

Explanation:

Step1: Use the property of parallel lines

When \(l\parallel m\parallel n\), the corresponding angles are equal. So, \(7x + 2=6x + 7\) (alternate - interior angles property for parallel lines cut by a transversal).

Step2: Solve the equation for \(x\)

Subtract \(6x\) from both sides of the equation \(7x+2 = 6x + 7\).
We get \(7x-6x+2=6x - 6x+7\), which simplifies to \(x+2 = 7\).
Then subtract \(2\) from both sides: \(x+2-2=7 - 2\).
So, \(x = 15\).

Answer:

\(x = 15\)