Profile
Settings
Refer your friends
Sign out
The term supplementary refers to something that completes or completes another. The word supplementary comes from the Latin word ‘supplere’ which means to fill. Therefore, supplementary angles are a collection of angles that complement one another to make 180°. Angles ranging from 0° to 180°are considered supplementary. Angles 60° and 120°, for instance, are complementary, as the sum of 120° and 60° equals 180°. When the two complementary angles are joined, a straight line and a right-angle result. However, it should be noted that the two additional angles are not needed to be adjacent. Consequently, any two angles can be complementary if their sum is exactly 180°.
In mathematics, the term supplementary refers to angles that, when added together, form a straight angle. This indicates that two angles are deemed complementary if their sum equals 180°. If two angles are supplementary, then either one of the angles is less than 90° (an acute angle) and the other is higher than 90° (an obtuse angle), or both angles are right angles, i.e., have a measurement of 90°.
The complementary angles are stated as K + L = 180° when they are formulated. This formula facilitates the determination of the supplemental angle’s values. If one of the numbers is known and the other must be found, the formula can be rearranged as K = 180° – L. Refer to the diagram below to better comprehend the addition of two angles.
Adjacent and Non- Adjacent Supplementary Angles
We have two kinds of supplementary angles as they can either be adjacent or nonadjacent. Each of these types is explained below.
- Adjacent supplementary angles
- Non-adjacent supplementary angles
Adjacent Supplementary Angles
An adjacent supplementary angle is defined as a pair of adjoining supplementary angles that share a shared vertex and a common arm.
Non-Adjacent Supplementary Angles
It is referred to as non-adjacent supplementary angles when two supplementary angles are not adjacent to one another. Consider the following example: AB and PQR are not neighbouring angles since they do not share a shared vertex or a common arm. They also sum up to 180°, which is 79° plus 101° equals 180°.
How to find Supplementary Angles
It is said to be a pair of angles that are supplements of each other if the sum of their angles is equal to 180°. The sum of two supplementary angles equals 180°, and each of them is referred to as a “supplement” of the other in this context. As a result, finding the supplement of an angle is as simple as subtracting it from 180°. This means that the x° supplement is equal to (180 – x)°.
By subtracting it from 180°, for example, we can obtain the supplement of 77°. As a result, the supplement is (180-77)° = 103°.
Tips on the Supplementary Angle
Here’s a quick tip to help you comprehend the distinction between supplemental angles and complementary angles.
The letter “S” stands for “Supplementary,” while the letter “S” stands for “Straight.” It is therefore possible to recall that two “Supplementary” angles combined together produce a “Straight” angle.
The letter “C” stands for “Complementary,” and the letter “C” stands for “Corner.” As a result, you can recall that when two “Complementary” angles are joined together, they make a “Corner (right) angle.
Conclusion
Supplementary angles are a collection of angles that complement one another to make 180°. Angles 60° and 120°, for instance, are complementary, as the sum of 120° and 60° equals 180°. There are two kinds of supplementary angles – adjacent or nonadjacent. An adjacent supplementary angle is defined as a pair of angles that share a shared arm and a shared vertical. It is referred to as non-adjacent supplementary angles when two angles are not adjacent to one another. Finding the supplement of an angle is as simple as subtracting it from 180°.
