Question

A triangle has two corners of angles `pi /12` and `pi/4`. What are the complement and supplement of the third corner?

Answer 1

As the third angle is obtuse angle, question of its complement does not arise. The supplement of the angle is `pi/3`.

Explanation:

As two angles of a triangle are `pi/12` and `pi/4`, the third angle is

`pi-pi/4-pi/12=(12pi-3pi-pi)/12=(8pi)/12=(2pi)/3`

As the third angle is obtuse angle, question of its complement does not arise.

The supplement of the angle is `pi-(2pi)/3=pi/3`