Question

solve for the value of x.

Explanation:

Step1: Note angle - sum property

The sum of the right - angle (90°) and the angle \((x - 8)^{\circ}\) is 180° (linear pair of angles).
So, \(90+(x - 8)=180\).

Step2: Simplify the equation

First, expand the left - hand side: \(90+x - 8=180\).
Combine like terms: \(x + 82=180\).

Step3: Solve for x

Subtract 82 from both sides of the equation: \(x=180 - 82\).
\(x = 98\).

Answer:

98