Q. 4 C5.0( 1 Vote )

Find the angles in each of the following.

The angles whose supplement is four times its complement.

Answer :

Let the compliment of an angle be x°


According to the question,


Supplement of the angle = 4x°


We know that two angles are said to be supple mentary if their sum is 180°.


So, required angle = 180° - 4x° ..(I)


Also, if the two angles are complimentary their sum is 90°.


required angle = 90° - x° …(II)


Equating I and II,


90° - x° = 180° - 4x°


3x° = 90°


x° = 30°


Hence, required angle = 90° - x° = 90° - 30° = 60°


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