Question

find the value of x.

Explanation:

Step1: Set up the equation

The sum of the three angles is \(180^{\circ}\) (a straight - line angle). One of the angles is \(90^{\circ}\) (right - angle). So, \((x - 3)+90+(x - 3)=180\).

Step2: Simplify the equation

Combine like terms: \(2(x - 3)+90 = 180\). First, expand \(2(x - 3)\) to get \(2x-6\). Then the equation becomes \(2x-6 + 90=180\), which simplifies to \(2x + 84=180\).

Step3: Solve for \(x\)

Subtract \(84\) from both sides: \(2x=180 - 84\), so \(2x = 96\). Divide both sides by \(2\): \(x=\frac{96}{2}\).

Answer:

\(x = 48\)