Question

solve for x.

Explanation:

Answer:

To solve for \( x \), we recognize that lines \( LM \) and \( NO \) are parallel, and \( JK \) is a transversal. The angles \( (4x + 54)^\circ \) and \( (126 - 2x)^\circ \) are corresponding angles, so they are equal.

Set up the equation:
\[
4x + 54 = 126 - 2x
\]

Add \( 2x \) to both sides:
\[
6x + 54 = 126
\]

Subtract 54 from both sides:
\[
6x = 72
\]

Divide both sides by 6:
\[
x = 12
\]

\( x = 12 \)