A triangle has two corners of angles π12 and π8. What are the complement and supplement of the third corner?

1 Answer
Jun 29, 2018

The supplement of the third angle is 524π
It does not have a complement.

Explanation:

The sum of all 3 angles in any triangle is π (or 1800)

So we find the third angle with this equation:

π12+π8+x=π
x=π224π324π
x=1924π

Two angles are complementary if the sum of the two angles adds up to π2 (or 900)

But this is an obtuse angle: 1924π>π2
so it does not have a complement.

Two angles are supplementary if the sum of the two angles adds up to π (or 1800)
1924π+S=π
S=π1924π

The supplement angle is: S=524π