Thank you for the opportunity to help you with your question!
What we are dealing with here is geometry. Now even though we do not have a lot of data we want to define what an angle measurement is as it relates to shapes and angle measures. Now let's suppose we had an angle which was a supplemental angle. For example angle AB is 100 degrees its supplement would be an angle measure of 80 degrees for angle BC so that it would add up to 180.
On the other hand you also have a complementary angle which has to add up to 90 degrees. For example angle CD could measure 45 degrees, what would be the complement. It would be another acute angle measuring 45 degrees so clearly supplemental and complimentary angles are fairly easy.
There is a website I would like for you to see in order to help you see more clearer how this all fits together I think you will find it very helpful. This website explains clearly by definition how to apply the steps for various functions in Math. There is also another website that you can take a look at on www.kutasofware.com. This is a math website as well that eplains angles very well.