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Supplementary angles and complementary angles
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Sagot :

NaoleySmith015
Two angles are called complementary when their measures add to 90 degrees. Two angles are called supplementary when their measures add up to 180 degrees.


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aljenicavenicelimos

Answer:

Supplementary Angles

Supplementary angles refer to the pair of angles that always sum up to 180°. These two angles are called supplements of each other. The word "supplementary" comes from two Latin words "Supplere" and "Plere" where "Supplere" means "supply”, whereas "Plere" means "fill". So, "supplementary" means "something when supplied to complete a thing".

In this lesson, we will explore the world of supplementary angles, which helps in solving various geometry problems. The journey will take us through supplementary angles, and the difference between complementary angles and supplementary angles.

What are Supplementary Angles?

Two angles are said to be supplementary angles if they add up to 180 degrees. Supplementary angles form a straight angle (180 degrees) when they are put together. In other words, angle 1 and angle 2 are supplementary, if Angle 1 + Angle 2 = 180°. In this case, Angle 1 and Angle 2 are called "supplements" of each other.

Observe the following figure in which 130° + 50° = 180°. Hence, by the definition of supplementary angles, these two angles are supplementary.

Complementary Angles

In geometry, complementary angles are defined as two angles whose sum is 90 degrees. In other words, two angles that add up to 90 degrees are known as complementary angles. For example, 60° and 30°. Let us learn more about it in this article.

What are Complementary Angles?

The complement and supplement of the two angles are decided by the sum of their measurement. If the sum of the two angles is equal to the measurement of a right angle then the pair of angles is said to be complementary angles.

Complementary Angles Definition

Two angles are said to be complementary angles if they add up to 90 degrees. In other words, when complementary angles are put together, they form a right angle (90 degrees). Angle 1 and angle 2 are complementary if the sum of both the angles is equal to 90 degrees (i.e. angle 1 + angle 2 = 90°) and thus, angle 1 and angle 2 are called complements of each other.

In the figure given below, 60° + 30° = 90°. Hence, from the "Definition of Complementary Angles", these two angles are complementary. Each angle among the complementary angles is called the "complement" of the other angle. Here,

60° is the complement of 30°.

30° is the complement of 60°.

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