Two angles are complementary if their sum is 90 degrees. Given the measures of the angles are \( (2x)^\circ \) and \( (3x)^\circ \), we can set up the equation:
\[ 2x + 3x = 90 \]
This simplifies to:
\[ 5x = 90 \]
Now, divide both sides by 5:
\[ x = 18 \]
Now, we can find the measures of the two angles:
- \( 2x = 2 \times 18 = 36^\circ \)
- \( 3x = 3 \times 18 = 54^\circ \)
Therefore, the values are:
\( x = 18 \), \( (2x) = 36^\circ \), and \( (3x) = 54^\circ \).