Question

A triangle has two corners of angles `(pi )/4` and `(7 pi)/12`. What are the complement and supplement of the third corner?

Answer 1

`pi/3 , (5pi)/6`

Explanation:

The sum of the 3 angles in a triangle is `pi`

To find the 3rd angle , sum the 2 given angles together and subtract result from `pi`

`rArrpi-(pi/4+(7pi)/12)=pi-(5pi)/6=pi/6`

`•"Complementary angles are 2 angles whose sum is " pi/2`

To find the complement of a given angle subtract it from `pi/2`

`rArrpi/2-pi/6=pi/3" is the complement of the 3rd angle"`

`•"Supplementary angles are 2 angles whose sum is "pi`

To find the supplement of a given angle subtract it from `pi`

`rArrpi-pi/6=(5pi)/6" is the supplement of the 3rd angle"`