Question

solve for x.

x =

Explanation:

Step1: Use the property of alternate interior angles

Since \( MN\parallel OP\), then \((5x - 32)^{\circ}\) and \((3x - 4)^{\circ}\) are supplementary. So \(5x-32+3x - 4=180\).

Step2: Simplify the equation

Combine like - terms: \(5x+3x-32 - 4=180\), which is \(8x-36 = 180\).

Step3: Solve for \(x\)

Add \(36\) to both sides: \(8x=180 + 36\), so \(8x=216\). Then divide both sides by \(8\): \(x=\frac{216}{8}=27\).

Answer:

\(27\)