How to Define Complements in Mathematics

In the previous post we have discussed about How to Read Binary and In today's session we are going to discuss about Complements, the word Complements can be refered as a concept that perform there different task in various field of mathematics. In a simple mean we can say that complement is a amount which can be added to something of same kind to generate its whole. The definition of Complement varies according to the different fields of mathematics.
In the geometrical mathematics the word Complements can be express as angle of 90 degree which is formed by adding two different angles. In geometry, one angle said to be complement for the other angle to make a whole angle. Suppose the measure of one angle is 35 degree and the measure of other is 55 degree then merge up of these angles form a 90 degree angle that can be consider as a whole angle.
In the same aspect of set theory, the word  Complements can be define as a inverse of any set. As we know that a set is a collection of elements that are also exists in universal set. In the same aspect the concept of complement for a set S can be define as a set of all elements that are not exists in the set A. Suppose there is a set B, so the Complements of B contains all the elements that are exists in universal set U but do not contain by set B. In the mathematical notation complement of set can be express as below given format:
Complement of B = (B)'
Suppose the set B = (1, 2, 3 ) And Universal set U contains (a, b, c, 1, 2, 3) then 
Complements of set B can be represented as in below given format:
B' = (a, b, c)
when we add both set then it make whole set which can be called as universal set. It means to say that set B + Set B' = U set.
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