Question

1. (5x + 7)° (8x - 71)° l m

Explanation:

Step1: Identify angle - relationship

Assume the two angles are corresponding angles (if lines l and m are parallel). Corresponding angles are equal. So we set up the equation $5x + 7=8x - 71$.

Step2: Rearrange the equation

Subtract $5x$ from both sides: $7 = 8x-5x - 71$, which simplifies to $7 = 3x - 71$.

Step3: Solve for x

Add 71 to both sides: $7+71=3x$, so $78 = 3x$. Then divide both sides by 3: $x=\frac{78}{3}=26$.

Answer:

$x = 26$