Question

1. (11x - 47)° (6x - 2)°

Explanation:

Step1: Identify angle - relationship

Assume the two angles are alternate - interior angles or corresponding angles (since lines l and m are parallel). So, they are equal. Set up the equation $11x−47 = 6x - 2$.

Step2: Solve for x

Subtract $6x$ from both sides: $11x-6x−47=6x - 6x - 2$, which simplifies to $5x−47=-2$.

Step3: Isolate the variable term

Add 47 to both sides: $5x−47 + 47=-2 + 47$, getting $5x = 45$.

Step4: Solve for x

Divide both sides by 5: $\frac{5x}{5}=\frac{45}{5}$, so $x = 9$.

Answer:

$x = 9$