Question

1. find the value of x. (3x + 1)° (2x + 4)° 17 52 38 85

Explanation:

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

The sum of the interior angles of a right - triangle is 180°, and one angle is 90°. So, $(3x + 1)+(2x + 4)+90=180$.

Step2: Simplify the left - hand side of the equation

Combine like terms: $3x+2x + 1+4+90=180$, which simplifies to $5x+95 = 180$.

Step3: Isolate the variable term

Subtract 95 from both sides of the equation: $5x=180 - 95$, so $5x=85$.

Step4: Solve for x

Divide both sides by 5: $x=\frac{85}{5}=17$.

Answer:

17