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Class 12 Mathematics Trigonometric Functions AnglesExpertLevel 68

If the complement of an angle is (\frac{1}{5}) of its supplement then what is the angle?

Answer and explanation

Correct answer: (67^\circ30')

If the angle is (x) then (90^\circ-x=\frac{1}{5}(180^\circ-x)). Solving gives (x=67^\circ30').

Tags

trigonometric-functionscomplementary-anglessupplementary-angles

Frequently asked questions

What is the correct answer to this question?

(67^\circ30')

Why is this the correct answer?

If the angle is (x) then (90^\circ-x=\frac{1}{5}(180^\circ-x)). Solving gives (x=67^\circ30').

Which subject and chapter does this question cover?

This is a Class 12 Mathematics question. Chapter: Trigonometric Functions. Topic: Angles.

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