Question

find the value of x that makes m||n. x = \boxed{\quad} (simplify your answer.)

Explanation:

Step1: Identify equal angles (corresponding angles)

For lines \( m \parallel n \), the given angles \( 99^\circ \) and \( (3x - 18)^\circ \) are corresponding angles, so they are equal.
\[ 3x - 18 = 99 \]

Step2: Solve for \( x \)

Add 18 to both sides:
\[ 3x = 99 + 18 \]
\[ 3x = 117 \]
Divide both sides by 3:
\[ x = \frac{117}{3} \]
\[ x = 39 \]

Answer:

\( x = 39 \)