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      Question

      Find the difference between angle and its complement if

      the angle is four-fifth of its complement.
      A 10° Correct Answer Incorrect Answer
      B 12° Correct Answer Incorrect Answer
      C 14° Correct Answer Incorrect Answer
      D 16° Correct Answer Incorrect Answer

      Solution

      Let the angle be 'A'.

      Complement of 'A' = 90° - A

      So, 'A' = (4/5) X (90° - A)

      Or, 5A = 360° - 4A

      Or, 9A = 360°

      Or, 'A' = 40°

      Complement of 'A' = 90° - 40° = 50°

      Required difference = 50° - 40° = 10°

      Hence, option a.

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