question the measures of the angles of a triangle are shown in the figure below. solve for x.

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°. So, 33°+90°+(3x + 9)°=180°.

Step2: Simplify the left - hand side

First, add the non - variable angles: 33 + 90+9=132. The equation becomes 132 + 3x=180.

Step3: Isolate the variable term

Subtract 132 from both sides of the equation: 3x=180 - 132. So, 3x=48.

Step4: Solve for x

Divide both sides by 3: x = \frac{48}{3}=16.

Answer:

16