Complementary angles are two angles whose measures add up to 90 degrees. Given the angles as \(3x^\circ\) and \((2x - 5)^\circ\), we can set up the equation:
\[ 3x + (2x - 5) = 90 \]
Now, let's simplify the equation:
\[ 3x + 2x - 5 = 90 \] \[ 5x - 5 = 90 \] \[ 5x = 90 + 5 \] \[ 5x = 95 \] \[ x = 19 \]
Now, we can find the measures of the angles:
- For \(3x^\circ\):
\[ 3x = 3(19) = 57^\circ \]
- For \((2x - 5)^\circ\):
\[ 2x - 5 = 2(19) - 5 = 38 - 5 = 33^\circ \]
The two angles are \(57^\circ\) and \(33^\circ\). Thus, the two angle measures are:
D. 33° and 57°.