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 consecutive - interior angles are supplementary. So, \((5x + 3)+53=180\).

Step2: Simplify the equation

$$
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$$

Step3: Solve for \(x\)

Subtract \(56\) from both sides: \(5x=180 - 56\), so \(5x=124\). Then divide both sides by \(5\): \(x=\frac{124}{5}=24.8\).

Answer:

\(x = 24.8\)