Question

solve for x,

x =

Explanation:

Step1: Identify the relationship between angles

Since \(LM\parallel NO\), the angle \((3x + 27)^{\circ}\) and the angle \(81^{\circ}\) are corresponding angles. Corresponding angles are equal.
So, \(3x+27 = 81\)

Step2: Solve the equation for \(x\)

Subtract \(27\) from both sides of the equation:
\(3x+27-27=81 - 27\)
\(3x=54\)
Divide both sides by \(3\):
\(x=\frac{54}{3}\)

Answer:

\(18\)