Question

given ( m parallel n ), find the value of ( x ).
answer attempt 1 out of 2
( x = )
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Explanation:

Step1: Identify the angle relationship

Since \( m \parallel n \), the two angles \( (3x + 25)^\circ \) and \( (6x - 5)^\circ \) are alternate interior angles, so they are equal.

$$ 3x + 25 = 6x - 5 $$

Step2: Solve for \( x \)

Subtract \( 3x \) from both sides:

$$ 25 = 3x - 5 $$

Add 5 to both sides:

$$ 30 = 3x $$

Divide both sides by 3:

$$ x = 10 $$

Answer:

\( x = 10 \)