How do you find the complement and supplement of #115^@#?

1 Answer
Mar 3, 2018

The complement is #-25^@# and the supplement is #65^@#.

Explanation:

The definition of two angles that are complementary means that their angle measures add up to #90^@#.

The definition of two angles that are supplementary means that their angle measures add up to #180^@#.

We can figure out the complementary (#x#) and supplementary (#y#) angles by making equations like this:

#115^@+x=90^@#

#115^@+y=180^@#

Simplifying each one gets:

#x=-25^@#

#y=65^@#