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, \((5x + 3)^{\circ}\) and \(53^{\circ}\) are corresponding angles. Then we have the equation \(5x+3 = 53\).

Step2: Solve the equation for \(x\)

Subtract \(3\) from both sides of the equation: \(5x=53 - 3\), which simplifies to \(5x = 50\).
Divide both sides by \(5\): \(x=\frac{50}{5}\).

Answer:

\(x = 10\)