We can find angles everywhere as it is the building block of various shapes like triangle and polygon. Angles are not just a significant concept in mathematics, but it also has a big role to play in our day to day lives. Be it on the map we use or when two diverging roads split, we can see an angle is formed. It is interesting to note and study pair of angles like complementary angles and supplementary angles.
Pair of Angles is an interesting concept, and you can see various examples that are related to pair of angles in our surroundings. Be it the angle formed by the large and small hand of a clock or the angles formed by the patterns on the leaf. These real-life examples of the pair of angles make the concept quite interesting. Have you ever wondered how these angles are related to each other and what relationship exists between them? Well, if not, we are going to explore the different pair of angles in this blog. We will also study supplementary and complementary angles and find out how they differ from each other.
In Geometry, pair of angles are the two angles that are related to each other. We study pair of angles in order to understand the relationship between the angles. The different examples of pairs of angles are complementary angles, vertical angles, supplementary angles, alternate interior angles, alternate exterior angles, adjacent angles and corresponding angles. In this blog, we are going to study supplementary and complementary angles.
Two angles are known as supplementary angles if the sum of these angles is equal to 180 degrees. Hence the supplementary angles are said to be the supplement of one another. It is not required that the two angles are adjacent; their sum just needs to be equal to 180 degrees. If we put this in an equation, say A and B are two angles then, Angle A + Angle B = 180 degrees.
Two angles are said to be complementary if the sum of these angles is equal to 90 degrees, i.e., right angle. These angles are said to be the complement of one another. Again, in this case, the two angles need not be adjacent. However, their sum must be equal to 90 degrees. If we put this in an equation, say C and D are two angles then, Angle C + Angle D = 90 degrees.
Now that we are aware of what complementary and supplementary angles are, we can easily differentiate them. Let us now explore the difference between supplementary and complementary angles.
Complementary angles and supplementary angles are quite different from each other. The sum of complementary angles is equal to 90 degrees, while the sum of supplementary angles is equal to 180 degrees. While complementary angles complement each other, supplementary angles supplement each other. One major difference is that complementary angles are not defined for the linear pair of angles, while supplementary angles can be defined for the linear pair of angles.
I hope this blog helped you understand the difference between supplementary and complementary angles. Cuemath enables you to understand the difference between supplementary and complementary angles with the help of visuals, and Cuemath online classes are the best way to learn in a super engaging, fun way from the comfort of your home. If you have any queries related to the topic ‘pair of angles’, comment down below. I will be happy to answer your questions.