Question

1. (5x + 7)° (8x - 71)° 8. 2x = 13

Explanation:

Step1: Set up the equation

Since lines \( l \) and \( m \) are parallel, the corresponding angles are equal. So, \( 5x + 7=8x - 71 \).

Step2: Solve for \( x \)

Subtract \( 5x \) from both sides: \( 7 = 3x-71 \).
Add \( 71 \) to both sides: \( 7 + 71=3x \), which simplifies to \( 78 = 3x \).
Divide both sides by \( 3 \): \( x=\frac{78}{3}=26 \).

Answer:

\( x = 26 \)