Question

solve for the value of x.

Explanation:

Step1: Use the property of supplementary angles

Since the two angles \((2x - 4)^{\circ}\) and \(92^{\circ}\) are supplementary (they form a linear pair), their sum is \(180^{\circ}\). So, we have the equation \(2x-4 + 92=180\).

Step2: Simplify the left - hand side of the equation

Simplify \(2x-4 + 92\) to \(2x + 88\). The equation becomes \(2x+88 = 180\).

Step3: Solve for \(x\)

Subtract \(88\) from both sides: \(2x=180 - 88\), so \(2x = 92\). Then divide both sides by \(2\): \(x=\frac{92}{2}\).

Answer:

\(46\) (It seems there is a mistake in the given options as the correct value of \(x\) is \(46\))