Question

solve for x.

x =

Explanation:

Step1: Use the property of corresponding angles

Since \( LM\parallel NO\), the angle \((3x + 27)^{\circ}\) and the angle adjacent to \(81^{\circ}\) (which is \(180^{\circ}- 81^{\circ}=99^{\circ}\)) are corresponding angles. So \(3x + 27=99\).

Step2: Solve the equation for \(x\)

Subtract \(27\) from both sides of the equation \(3x + 27=99\):
\(3x=99 - 27\)
\(3x=72\)
Divide both sides by \(3\):
\(x=\frac{72}{3}\)

Answer:

\(24\)