What is the defintion of supplementary angles and complimentary angles and what is the difference?

Supplementary angles are pairs or angles that add up to 180 degrees. Complimentary angles are pairs that add up to 90 degress.

We both have misspelled

"complementary" . It is NOT derived from the word "compliment"; it comes from the word "complete".

Supplementary angles and complementary angles are both types of angle pairs that have specific properties.

Supplementary angles are a pair of angles that add up to 180 degrees. In other words, if two angles are supplementary, when you add the measurements of those angles together, the result is always 180 degrees. For example, if one angle measures 120 degrees, the other angle would measure 60 degrees since 120 + 60 = 180.

Complementary angles, on the other hand, are a pair of angles that add up to 90 degrees. In other words, if two angles are complementary, when you add the measurements of those angles together, the result is always 90 degrees. For example, if one angle measures 30 degrees, the other angle would measure 60 degrees since 30 + 60 = 90.

The main difference between supplementary and complementary angles is the sum of their measurements. Supplementary angles add up to 180 degrees, while complementary angles add up to 90 degrees. This means that if two angles add up to 90 degrees, they cannot be supplementary angles because their sum would be less than 180 degrees. Similarly, if two angles add up to 180 degrees, they cannot be complementary angles because their sum would be greater than 90 degrees.