Question

A triangle has two corners of angles `pi /8` and `(5pi)/12`. What are the complement and supplement of the third corner?

Answer 1

Complement `=7.5^@`
Supplement `=97.5^@`

Explanation:

First, we have to compute for the third corner.

Let angle `A=pi/8=22.5^@`
Let angle `B=(5pi)/12=75^@`

Let angle `C` the third angle

`180=A+B+C`

`C=180-A-B=180^@-22.5^@-75^@=82.5^@`

Complement `=90^@-82.5^@=7.5^@7`
Supplement `=180^@-82.5^@=97.5^@`

God bless....I hope the explanation is useful.