Question
Find the difference between angle and its complement if
the angle is one-half of its complement.Solution
Let the angle be 'A'.
Complement of 'A' = 90° - A
So, 'A' = (1/2) X (90° - A)
Or, 2A = 90° - A
Or, 3A = 90°
Or, 'A' = 30°
Complement of 'A' = 90° - 30° = 60°
Required difference = 60° - 30° = 30°
Hence, option c.
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