Question

A triangle has two corners of angles `pi /6` and `(pi)/6`. What are the complement and supplement of the third corner?

Answer 1

The Compliment angle is IMPOSSIBLE and the Supplement angle is `(pi)/3`

Explanation:

The two angles of the triangle are `pi/6`. It is an isosceles triangle.
The third angle is `pi` - 2*`pi/6` = `(2pi)/3` .

As supplementary angles add up to `pi` ,to find the Supplement angle of `(2pi)/3` ; we have to deduct `(2pi)/3` from `pi`.

So, the supplementary angle is => `pi` - `(2pi)/3` = `pi/3`

As complementary angles add up to `pi/2`; to find the complement angle of `(2pi)/3` ; we have to deduct `(2pi)/3` from `pi/2`.

So, the complementary angle is => `pi/2` - `(2pi)/3` = -`pi/6` ; which is IMPOSSIBLE, as any triangle has no negative angles.