Question

solve for x.

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work it out

Explanation:

Step1: Use the property of parallel lines

Since the two lines \(ON\) and \(LM\) are parallel, the alternate - interior angles are equal. So, \(3x=5x - 30\).

Step2: Solve the equation for \(x\)

Subtract \(3x\) from both sides of the equation:
\(3x-3x=5x - 30-3x\)
\(0 = 2x-30\).
Then add \(30\) to both sides:
\(2x=30\).
Divide both sides by \(2\): \(x = 15\).

Answer:

\(15\)