Question

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

Answer 1

`(5pi)/24` and `(17pi)/24` respectively.

Explanation:

We know that the sum of 3 angles of a triangle is `pi`.

Now we are given 2 angles of a triangle. So, as to find the remaining third angle, we have `pi - (pi/12) - ((5pi)/8) = (24pi - 2pi - 15pi)/24 = (7pi)/24.`

Complement of this third angle is `pi/2 - (7pi)/24 = (5pi)/24.`

Supplement of the third angle is `pi - (7pi)/24 = (17pi)/24.`