Question

find the value of x so that ℓ || m.
(6x + 4)°
(8x − 8)°
x =
need help?

Explanation:

Step1: Identify the angle relationship

Since \( \ell \parallel m \) and \( k \) is a transversal, the two angles \( (6x + 4)^\circ \) and \( (8x - 8)^\circ \) are alternate interior angles. Alternate interior angles are equal when lines are parallel. So we set up the equation:
\( 6x + 4 = 8x - 8 \)

Step2: Solve for \( x \)

Subtract \( 6x \) from both sides:
\( 4 = 2x - 8 \)

Add 8 to both sides:
\( 12 = 2x \)

Divide both sides by 2:
\( x = 6 \)

Answer:

\( x = 6 \)