Question

solve for x. ( x = )

Explanation:

Step1: Use the property of alternate interior angles

Since \( LM\parallel NO\), the angles \((25x + 33)^{\circ}\) and \((20x+53)^{\circ}\) are equal. So, \(25x + 33=20x + 53\).

Step2: Solve the equation for \(x\)

Subtract \(20x\) from both sides: \(25x-20x+33=20x - 20x+53\), which gives \(5x+33 = 53\).
Subtract \(33\) from both sides: \(5x+33-33=53 - 33\), so \(5x=20\).
Divide both sides by \(5\): \(x=\frac{20}{5}\).

Answer:

\(4\)