Question

1. determine the value of x.

Explanation:

Step1: Recall angle - sum property

The sum of the two non - right angles in a right - triangle is 90°. So, we have the equation \(5x+(x - 6)=90\).

Step2: Simplify the left - hand side

Combine like terms: \(5x+x-6 = 90\), which simplifies to \(6x-6 = 90\).

Step3: Isolate the variable term

Add 6 to both sides of the equation: \(6x-6 + 6=90 + 6\), resulting in \(6x=96\).

Step4: Solve for x

Divide both sides by 6: \(x=\frac{96}{6}=16\).

Answer:

16