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