Question

If two angles are complementary each angle is called a complement of the other if two angles are supplementary each angle is called a supplement of the other

1. Suppose m∠A = 77° what is the measure of a complement of a complement of ∠A? Explain

2. what conclusion can you draw about a complement of a complement of an angle? explain

Answer 1

1) Complement = 90 - 77 = 13⁰

2) We can conclude that complement of complement of any angle is the angle itself

Answer 2

Remember that complementary angles add to 90 degrees.

so therefor, you can find the complement of m<A by solving

90 - 77 = A

A = 13 degrees

^^^ This explains the second part.

The compliment of a compliment can be found by subtracting the known compliment from 90 :)