Question

solve for x.
(3x + 24)°
(5x - 12)°
x =
submit

Explanation:

Step1: Identify the relationship

Since lines \( CD \) and \( EF \) are parallel (indicated by the arrows) and \( AB \) is a transversal, the corresponding angles \( (3x + 24)^\circ \) and \( (5x - 12)^\circ \) are equal. So we set up the equation:
\( 3x + 24 = 5x - 12 \)

Step2: Solve for \( x \)

Subtract \( 3x \) from both sides:
\( 24 = 2x - 12 \)

Add 12 to both sides:
\( 36 = 2x \)

Divide both sides by 2:
\( x = 18 \)

Answer:

\( 18 \)