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

1 Answer
Sep 11, 2016

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.