Question

find x (3x - 18)° (x + 12)° x = ____

Explanation:

Step1: Set up equation

Vertical - angles are equal. So, $3x - 18=x + 12$.

Step2: Isolate x - terms

Subtract $x$ from both sides: $3x-x-18=x - x+12$, which simplifies to $2x-18 = 12$.

Step3: Isolate the variable

Add 18 to both sides: $2x-18 + 18=12 + 18$, getting $2x=30$.

Step4: Solve for x

Divide both sides by 2: $\frac{2x}{2}=\frac{30}{2}$, so $x = 15$.

Answer:

$x = 15$