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, \(7x + 2=6x + 7\).

Step2: Solve the equation

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

Answer:

\(x = 5\)