Question

1. (12x - 8)° 104° l m

Explanation:

Step1: Identify angle relationship

The angles \((12x - 8)^\circ\) and \(104^\circ\) are same - side interior angles (or supplementary as lines \(l\) and \(m\) are parallel, so they add up to \(180^\circ\)). So we set up the equation:
\(12x-8 + 104=180\)

Step2: Simplify the equation

First, combine like terms: \(12x+96 = 180\)

Step3: Solve for \(x\)

Subtract 96 from both sides: \(12x=180 - 96\)
\(12x = 84\)
Divide both sides by 12: \(x=\frac{84}{12}\)
\(x = 7\)

Answer:

\(x = 7\)