Question

find the value of x

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. So, $2x=4x + 108$.

Step2: Rearrange the equation

Subtract $2x$ from both sides and subtract 108 from both sides: $0=4x-2x + 108$, which simplifies to $2x=- 108$.

Step3: Solve for x

Divide both sides by 2: $x=\frac{-108}{2}=-54$.

Answer:

$x = - 54$