The measure of the complement of an angle exceeds the measure of the angle by 24º. Find the measure of the
angle.
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Answer:
Sol. Let the first angle be x°.
And its complement angle = x° + 24°
According to question
x + x + 24° = 90°
2x + 24° = 90°
2x = 90° - 24°
2x = 66°
x = 66/2
x = 33°
Hence First angle = 33°
And complement angle = 33° + 24°
= 57°
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