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

1 Answer
Jun 8, 2016

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#