The angles are 33° and 57°.
Complementary angles means the angles that their sum equals to 90° when we add them together.
Let the smaller angle be x
Let the bigger angle be x + 24
Therefore, x + x+24 = 90
2x + 24 = 90
2x = 90 - 24.
2x = 66
Divide both side by 2
2x/2 = 66/2
x = 33
The smaller angle is 33°
The bigger angle will be:
= 33° + 24°
= 57°
In conclusion, the angles are 33° and 57°.
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