Question

solve for x.
x =

Explanation:

Step1: Identify the relationship between angles

Since \( JK\parallel LM\), \(\angle KNO\) and \(\angle LON\) are supplementary. So, \((6x + 22)+(64 - x)=180\).

Step2: Simplify the equation

Combine like - terms: \(6x-x+22 + 64=180\), which simplifies to \(5x+86 = 180\).

Step3: Solve for \(x\)

Subtract 86 from both sides: \(5x=180 - 86\), so \(5x=94\). Then divide both sides by 5: \(x=\frac{94}{5}= 6\).

Answer:

\(6\)