Question

given ( mparallel n ), find the value of ( x ).
answer attempt 1 out of 2
( x=)

Explanation:

Step1: Identify the relationship (alternate interior angles)

Since \( m \parallel n \) and the transversal cuts them, the angles \( (8x - 9)^\circ \) and \( (6x + 1)^\circ \) are alternate interior angles, so they are equal.

$$ 8x - 9 = 6x + 1 $$

Step2: Solve for \( x \)

Subtract \( 6x \) from both sides:

$$ 8x - 6x - 9 = 1 $$

$$ 2x - 9 = 1 $$

Add 9 to both sides:

$$ 2x = 1 + 9 $$

$$ 2x = 10 $$

Divide both sides by 2:

$$ x = \frac{10}{2} $$

$$ x = 5 $$

Answer:

\( x = 5 \)