Question

solve for x.

x =

Explanation:

Step1: Use the property of corresponding angles

Since \( MN\parallel OP\), the angle \((2x + 41)^{\circ}\) and the angle adjacent to \(51^{\circ}\) (which is \(180^{\circ}- 51^{\circ}=129^{\circ}\)) are corresponding angles. So \(2x + 41=129\).

Step2: Solve the equation for \(x\)

Subtract \(41\) from both sides of the equation \(2x + 41=129\):
\(2x=129 - 41\)
\(2x=88\)
Divide both sides by \(2\):
\(x=\frac{88}{2}\)

Answer:

\(x = 44\)