Answer :
Answer
The two complementary angles are 83.8° and 6.2° respectively.
Explanation
Complementary angles are angles that sum up to give 90°
Let the two angles be x and y.
x + y = 90°
We are told that one of them is 77.6° more than the other.
x = y + 77.6°
We can then substitute for x
x + y = 90°
y + 77.6° + y = 90°
2y = 90° - 77.6°
2y = 12.4°
Divide both sides by 2
(2y/2) = (12.4°/2)
y = 6.2°
x = 77.6° + y
x = 77.6° + 6.2°
x = 83.8°
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