Question

find the value of x that will make ℓ || m. (3x+87)° ℓ (6x+69)° m

Explanation:

Step1: Identify angle relationship

For lines \( \ell \parallel m \), the angles \( (3x + 87)^\circ \) and \( (6x + 69)^\circ \) are alternate exterior angles, so they are equal.

$$ 3x + 87 = 6x + 69 $$

Step2: Solve for \( x \)

Subtract \( 3x \) from both sides:

$$ 87 = 3x + 69 $$

Subtract 69 from both sides:

$$ 18 = 3x $$

Divide by 3:

$$ x = 6 $$

Answer:

\( x = 6 \)