Two right angles or two obtuse angles can’t complement one another.Complementary angles always appear in pairs. Even if the sum of three or more angles is 90 degrees, they cannot be considered complementary angles.Complementary angles can be either adjacent or non-adjacent.If two angles are complementary, we call each angle “complement” or “complement angle” of the other angle.Complementary angles are those whose sum of the measures is equal to 90 degrees. ![]() To fully understand complementary angles, you must keep in mind the following concepts that include some important characteristics and features: What a simple thing to do! Now you know how to find the complement of a specific angle.Ĭomplementary angles also have some interesting characteristics and features that we’ll look at in the next section. Therefore, the complement of an angle whose measure is $$36^\circ$$ is an angle whose measure is $$54^\circ$$. įor example, let us determine the complement of an angle whose measure is $$36^\circ$$. Since complementary angles add up to 90 degrees, we can determine the complement of an angle by subtracting the angle’s measure from $$90^\circ$$. Here’s a simple method of determining the complement of a specific angle! Finding the Complement of an AngleĪt some point in time, we may encounter situations that may require us to find the complement of an angle. Below are illustrations of non-adjacent complementary angles. These are complementary angles that are not adjacent to each other. Below are illustrations of adjacent complementary angles. These are complementary angles that share a common vertex and a common side. Let’s take a look at how these two types differ from one another. There are two types of complementary angles – the adjacent complementary angles and the non-adjacent complementary angles. Isn’t it cool to know the origin of the word complementary? The word “ complementary” is derived from two Latin words, “complere,” which means “complete,” and “plere,” which means “fill?” The actual meaning of the word “complementary” is “the combination of objects or things in such a way that they complete each other or enhance the qualities of one another.” Notice that the spelling of the word “ complimentary” is spelled slightly different from what we are talking about here, which is “complementary.” So, be careful with the spelling, okay? You might have heard of or used the word “ complimentary” before, and you might think that it has nothing to do about adding up to 90 degrees. Hence, the complement of $$45^\circ$$ is also $$45^\circ$$. Similarly, the sum of two $$45^\circ$$ angles is which also forms a right angle. Thus, we can say that $$60^\circ$$ is a complement of $$30^\circ$$ and vice versa. In the illustration below, the sum of $$60^\circ$$ and $$30^\circ$$ is $$90^\circ$$, forming a right angle. Notice that complementary angles are always acute because each of the complements must measure less than 90 degrees to add up to 90 degrees. Three or more angles cannot also be called complementary angles even if their measures add up to 90 degrees because, by definition, complementary angles are always a pair.Īs a rule, the measures of complementary angles are always positive. Since right angles do not require another piece of the puzzle to complete the 90-degree angle, they do not have complements and cannot also be called a complement of their own. ![]() If an angle measures 90 degrees, it is called a right angle. We can say that one angle is the complement of the other or that one angle is complementary to another. ![]() When talking about complementary angles, it is important to keep in mind that they always appear in twos. ![]() You can imagine them as two puzzle pieces that fit together to form a 90-degree angle. So, what exactly are complementary angles?Ĭomplementary angles are a pair of angles that, when combined, sum up to 90 degrees. The two rays are the sides or arms of an angle, and their common endpoint is called the vertex. We already know that an angle is a figure formed by joining two rays at a common endpoint. …but first, let’s define an angle before we go deeper into understanding complementary angles. This time, we will familiarize ourselves with another unique pair of angles called complementary angles.Īre you thrilled to learn about this type of angle pair? Get ready as we are going to go in-depth in exploring the world of complementary angles! In geometry, identifying geometric properties of shapes such as lines and angles is an essential skill that you need to acquire to understand more profound concepts such as determining and finding the measures of angles.
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