Question

find the value of x. x =

Explanation:

Step1: Set up the equation

Since \(2x\) and \(4x + 108\) are supplementary angles (they form a linear - pair, and the sum of angles in a linear - pair is \(180^{\circ}\)), we have the equation \(2x+(4x + 108)=180\).

Step2: Simplify the left - hand side of the equation

Combine like terms: \(2x+4x+108=(2 + 4)x+108=6x + 108\). So the equation becomes \(6x+108 = 180\).

Step3: Isolate the variable term

Subtract 108 from both sides of the equation: \(6x+108-108=180 - 108\). This gives \(6x=72\).

Step4: Solve for \(x\)

Divide both sides of the equation by 6: \(x=\frac{72}{6}\).

Answer:

\(x = 12\)