Question

1. (4x - 7)° (7x - 61)° l m

Explanation:

Step1: Identify the relationship (alternate interior angles)

Since lines \( l \) and \( m \) are parallel, the angles \( (4x - 7)^\circ \) and \( (7x - 61)^\circ \) are alternate interior angles, so they are equal.
\[
4x - 7 = 7x - 61
\]

Step2: Solve for \( x \)

Subtract \( 4x \) from both sides:
\[
-7 = 3x - 61
\]
Add 61 to both sides:
\[
54 = 3x
\]
Divide both sides by 3:
\[
x = 18
\]

Answer:

\( x = 18 \)