Answer: Let x be the measure of the angle in degrees.
The complementary angle is 90° - x.
According to the problem, the angle measures 19.6° less than the complementary angle, so we can write:
x = (90° - x) - 19.6°
Simplifying this equation, we get:
x = 70.4° - x
Adding x to both sides, we get:
2x = 70.4°
Dividing both sides by 2, we get:
x = 35.2°
Therefore, the angle measures 35.2° and its complementary angle measures 90° - 35.2° = 54.8°.
Explanation: