Let’s denote the smaller angle as x. Since the other angle contains 30 degrees more, we can represent it as x + 30.
According to the definition of complementary angles, the sum of the two angles is 90 degrees. This gives us the equation:
x + (x + 30) = 90
Simplifying this equation:
- Combine like terms: 2x + 30 = 90
- Subtract 30 from both sides: 2x = 60
- Divide by 2: x = 30
The smaller angle is 30 degrees. Now, we can find the measure of the other angle:
30 + 30 = 60
Thus, the two complementary angles are 30 degrees and 60 degrees.