Question
Determine the difference between an angle and its
complementary angle, given that the angle is two-thirds of its complement.Solution
Let the angle be 'A'.
Complement of 'A' = 90o - A
So, 'A' = (2/3) X (90o - A)
Or, 3A = 180o - 2A
Or, 5A = 180o
Or, 'A' = 36o
Complement of 'A' = 90o - 36o = 54o
Required difference = 54o - 36o = 18o
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