Question
Find the difference between angle and its complement if
the angle is three-seventh of its complement.Solution
Let the angle be 'A'.
Complement of 'A' = 90° - A
So, 'A' = (3/7) X (90° - A)
Or, 7A = 270° - 3A
Or, 10A = 270°
Or, 'A' = 27°
Complement of 'A' = 90° - 27° = 63°
Required difference = 63° - 27° = 36°
Hence, option d.
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