Question

solve for x.
x =

Explanation:

Step1: Use the property of alternate interior angles

Since \( LM\parallel NO\), then \( 5x - 30=3x\) (alternate - interior angles are equal).

Step2: Solve the equation for \( x\)

Subtract \( 3x\) from both sides: \( 5x-3x - 30=3x - 3x\), which gives \( 2x-30 = 0\).
Add \( 30\) to both sides: \( 2x-30 + 30=0 + 30\), so \( 2x=30\).
Divide both sides by \( 2\): \( x=\frac{30}{2}\).

Answer:

\(15\)