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

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, \(7x + 14=8x+11\).

Step2: Solve the equation

Subtract \(7x\) from both sides of the equation \(7x + 14=8x+11\).
We get \(14=x + 11\).
Then subtract \(11\) from both sides: \(x=14 - 11\).

Answer:

\(x = 3\)