Question
Find the difference between angle and its complement if
the angle is two-seventh of its complement.Solution
Let the angle be 'A'.
Complement of 'A' = 90° - A
So, 'A' = (2/7) X (90° - A)
Or, 7A = 180° - 2A
Or, 9A = 180°
Or, 'A' = 20°
Complement of 'A' = 90° - 20° = 70°
Required difference = 70° - 20° = 50°
Hence, option d.
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