Final answer:
The measure of the angle is 49.7 degrees, and the measure of its complementary angle is 40.3 degrees.
Step-by-step explanation:
Let's assume the measure of the angle is x degrees.
According to the given information, the complementary angle will measure (x - 9.4) degrees, since it is 9.4° less than the angle itself.
The sum of an angle and its complementary angle is always 90 degrees.
Therefore, we can set up the equation: x + (x - 9.4) = 90.
Simplifying the equation, we get: 2x - 9.4 = 90.
Adding 9.4 to both sides, we have: 2x = 99.4.
Finally, dividing both sides by 2, we find that x = 49.7.
So, the measure of the angle is 49.7 degrees, and the measure of its complementary angle is (49.7 - 9.4) = 40.3 degrees.