Question

1. solve for x.

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. In a right - triangle, one angle is 90°, and the other two angles are 5x and 4x. So, 90 + 5x+4x = 180.

Step2: Combine like terms

Combining the x - terms, we get 90+(5 + 4)x=180, which simplifies to 90 + 9x = 180.

Step3: Isolate the variable term

Subtract 90 from both sides of the equation: 9x=180 - 90. So, 9x = 90.

Step4: Solve for x

Divide both sides of the equation by 9: x=$\frac{90}{9}$.

Answer:

x = 10