Question

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

Explanation:

Step1: Sum triangle angles to 180°

$33^\circ + 90^\circ + (3x+9)^\circ = 180^\circ$

Step2: Simplify left side sum

$132 + 3x = 180$

Step3: Isolate term with x

$3x = 180 - 132$
$3x = 48$

Step4: Solve for x

$x = \frac{48}{3}$

Answer:

$x = 16$