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      Question

      Determine the difference between an angle and its

      complementary angle, given that the angle is two-thirds of its complement.
      A 18° Correct Answer Incorrect Answer
      B 20° Correct Answer Incorrect Answer
      C 24° Correct Answer Incorrect Answer
      D 36° Correct Answer Incorrect Answer

      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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