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

1 Answer

Complement #=7.5^@#
Supplement #=97.5^@#

Explanation:

First, we have to compute for the third corner.

Let angle #A=pi/8=22.5^@#
Let angle #B=(5pi)/12=75^@#

Let angle #C# the third angle

#180=A+B+C#

#C=180-A-B=180^@-22.5^@-75^@=82.5^@#

Complement #=90^@-82.5^@=7.5^@7#
Supplement #=180^@-82.5^@=97.5^@#

God bless....I hope the explanation is useful.