Question

A triangle has two corners of angles `(3pi )/8` and `(7pi)/12`. What are the complement and supplement of the third corner?

Answer 1

`(11pi)/24,(23pi)/24`

Explanation:

`"the sum of the angles in a triangle "=pi`

`rArr"third angle " =pi-((3pi)/8+(7pi)/12)`

`color(white)(rArr"third angle"x)=pi-(23)/24=pi/24`

`"complement of " pi/24=pi/2-pi/24=(11pi)/24`

`"supplement of " pi/24=pi-pi/24=(23pi)/24`