Question

find the value of x.

Explanation:

Step1: Identify angle - relationship

The angle $(4x + 118)^{\circ}$ and the $30^{\circ}$ angle are supplementary (linear - pair of angles, sum to $180^{\circ}$).
So, $4x+118 + 30=180$.

Step2: Simplify the equation

Combine like - terms: $4x+148 = 180$.
Subtract 148 from both sides: $4x=180 - 148$.
$4x = 32$.

Step3: Solve for x

Divide both sides by 4: $x=\frac{32}{4}$.
$x = 8$.

Answer:

$x = 8$