Question

Find the angle whose supplement is four times its complement.

Answer 1

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°.