Find the angle whose supplement is four times its complement.

1.	Find the angle whose supplement is four times its complement.
Answer» Consider the required angle as x° We know that the complement can be written as 90° – x° and the supplement can be written as 180° – x° 180° – x° = 4(90° – x°) We can also write it as 180° – x° = 360° – 4x° So we get 4x° – x° = 360° – 180° 3x° = 180° By division we get x° = 180/3 x° = 60° Therefore, the angle whose supplement is four times its complement is 60°.

Answer»

Consider the required angle as x°

We know that the complement can be written as 90° – x° and the supplement can be written as 180° – x°

180° – x° = 4(90° – x°)

We can also write it as

180° – x° = 360° – 4x°

So we get

4x° – x° = 360° – 180°

3x° = 180°

By division we get

x° = 180/3

x° = 60°

Therefore, the angle whose supplement is four times its complement is 60°.

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