The indigenous "supplementary" comes from two Latin indigenous "Supplere" and also "Plere" where "Supplere" way "supply”, conversely, "Plere" way "fill". So, "supplementary" means "something as soon as supplied to finish a thing". And also so space supplementary angles, a pair of two angles creating a straight angle (180 degrees) as soon as they are placed together. These 2 angles are absolutely called additionally of every other.

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Measuring angles and also finding angles room the most frequently brought out measures in Geometry. However, in stimulate to perform so, you need to have your geometrical concepts in place. In this lesson, us will explore the civilization of supplementary angle, i beg your pardon holds vital application in solving miscellaneous geometry problems. The journey will certainly take us v supplementary angles, and also the difference between supplementary angles v/s safety angles.

1.What space Supplementary Angles?
2.Adjacent and also Non-Adjacent Supplementary Angles
3.Supplementary V/S security Angles
4.How to discover the supplement of one Angle?
5.FAQs on Supplementary Angles

What are Supplementary Angles?

Two angles are claimed to be supplementary angle if they add up to 180 degrees. Supplementary angles form a right angle (180 degrees) when they are placed together. In various other words, angle 1 and also angle 2 are supplementary, if edge 1 + edge 2 = 180o

In this case, angle 1 and Angle 2 are referred to as "supplements" of every other. In the listed below figure, 130o + 50o = 180o.Hence, by the meaning of supplementary angles, these 2 angles room supplementary.


Adjacent and Non-Adjacent Supplementary Angles

Supplementary angles can either be nearby or non-adjacent. So, there space two varieties of supplementary angles. Each of these varieties of supplementary angles are explained below.

Adjacent supplementary anglesNon-adjacent supplementary angles

Adjacent Supplementary Angles

Two supplementary angles v a usual vertex and also a usual arm are claimed to be surrounding supplementary angles.



Here, ∠COB and ∠AOB are adjacent angles together they have a typical vertex, O, and a usual arm OB. They also include up come 180 degrees, that is, ∠COB + ∠ AOB = 70o + 110o = 180o. Hence, these two angles are surrounding supplementary angles.

Non-adjacent Supplementary Angles

Two supplementary angles that are NOT nearby are claimed to be non-adjacent supplementary angles.



Here, ∠ABC and ∠PQR space non-adjacent angle as lock neither have actually a typical vertex no one a typical arm. Lock also include up come 180 degrees, that is, ∠ABC+ ∠PQR = 79o + 101o = 180o. Hence, these 2 angles space non-adjacent supplementary angles. Non-adjacent supplementary angles, as soon as put together, kind a directly angle.

Supplementary V/S complementary Angles

The supplementary and complementary angles space angles the exist in pairs, summing up to 180 and also 90 degrees, and have plenty of real-time applications, most usual being the crossroads. Let's have a look at the difference in between them.

The supplementary vs complementary angles table.

Complementary Angles

Supplementary Angles

Two angles are said to be complementary if they add up come 90 degrees.

Two angles are claimed to be supplementary if they add up come 180 degrees.

Complement that an edge x is (90 - x)o

Supplement the an edge x is (180 - x)o

Here is a quick trick for you to recognize the difference between supplementary angles and also complementary angles.

"S" is for "Supplementary" and "S" is because that "Straight." Hence, you have the right to remember that two "Supplementary" angles as soon as put together type a "Straight" angle."C" is because that "Complementary" and "C" is for "Corner." Hence, you can remember that 2 "Complementary" angles once put together type a "Corner (right)" angle.

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How to find the complement of an Angle?

When the sum of two pairs of angle is same to 180°, then we speak to that pair the angles, supplements of each other. So, we understand that the amount of 2 supplementary angle is 180 degrees, and also each of lock is stated to be a "supplement" that the other. Thus, the supplement of an edge is found by individually it indigenous 180 degrees. This method the supplement of x° is (180 - x)°

For example, the supplement of 77° is obtained by individually it from 180o. Thus, its supplement is (180-77)° = 103°.