Question

1. (7x - 61)° (4x - 7)°

Explanation:

Step1: Use the property of alternate interior angles

Since the two lines \( m \) and \( l \) are parallel, the alternate interior angles are equal. So, \( 7x - 61=4x - 7 \).

Step2: Solve the equation for \( x \)

Subtract \( 4x \) from both sides: \( 7x-4x - 61=4x - 4x-7 \), which simplifies to \( 3x-61=-7 \).
Add \( 61 \) to both sides: \( 3x-61 + 61=-7 + 61 \), so \( 3x=54 \).
Divide both sides by \( 3 \): \( x=\frac{54}{3}=18 \).

Answer:

\( x = 18 \)