Question

f. x = ____

Explanation:

Step1: Apply angle - sum property of a right - triangle

The sum of the two non - right angles in a right - triangle is 90 degrees. So, $(3x)+(2x - 8)=90$.

Step2: Combine like terms

$3x+2x-8 = 90$ simplifies to $5x-8 = 90$.

Step3: Add 8 to both sides

$5x-8 + 8=90 + 8$, which gives $5x=98$.

Step4: Solve for x

$x=\frac{98}{5}=19.6$.

Answer:

$19.6$