Question

given ( m parallel n ), find the value of ( x ).
answer attempt 1 out of 2
( x = ) input box submit answer

Explanation:

Step1: Identify the relationship

Since \( m \parallel n \), the two angles \( (6x + 4)^\circ \) and \( (8x - 6)^\circ \) are alternate interior angles, so they are equal.

$$ 6x + 4 = 8x - 6 $$

Step2: Solve for \( x \)

Subtract \( 6x \) from both sides:

$$ 4 = 2x - 6 $$

Add 6 to both sides:

$$ 10 = 2x $$

Divide both sides by 2:

$$ x = 5 $$

Answer:

\( x = 5 \)