The sum of two complementary angles is 90 degrees.
Therefore, we can set up the equation: (x+3) + (4x-2) = 90.
Combining like terms, we get: 5x + 1 = 90.
Subtracting 1 from both sides, we get: 5x = 89.
Dividing both sides by 5, we get: x = 17.8.
Substituting x back into the equation, we find that the measures of the angles are: (17.8+3)° = 20.8° and (4(17.8)-2)° = 70.8°.
Therefore, the equation of the angle measures is: 20.8° and 70.8°.