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' = 90Ā° - A
So, 'A' = (2/7) X (90Ā° - A)
Or, 7A = 180Ā° - 2A
Or, 9A = 180Ā°
Or, 'A' = 20Ā°
Complement of 'A' = 90Ā° - 20Ā° = 70Ā°
Required difference = 70Ā° - 20Ā° = 50Ā°
Hence, option d.
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