Geometry is a subject that teaches us how to measure and locate angles. When the two rays of line converge at a point, an angle is formed. These rays are then referred to as the angle’s sides, and they share a similar point, also known as the angle’s vertex. Angles are categorized as supplementary angles or complementary based on a set of parameters that we will discuss here.
We must have encountered qualitative terms such as straight, angled, laying back, and so on. It is a normal occurrence in the natural universe for two lines or planes to not always be perfectly matched with each other. The extent of the difference in their orientation is measured in ‘Degrees,’ and the difference in their orientation is measured using a particular mathematical parameter called the ‘Angle.’ There are certain special angles in the study of angles, and one of them being, if the two angles add up to 180 degrees, the concept of a particular type of angles known as supplementary angles comes into the picture. Other angles which add up to 90 degrees are called the complementary angles. And one thing to note here is that these angles need not be adjacent to each other.
If we visualize the two rays forming an angle with orientations that are precisely opposite, they will form a 180-degree angle in the center, and the two rays will appear to be one straight line. This is where the value of 180 comes into play, and this is the angle that the straight line is creating. In a diagram, both 180 degrees and 0 degrees tend to be the same, but it is important to observe that the line is a ray, and direction makes all the sense. To summarize the definition of supplementary angles in simple terms, it can be said that when two angles add up to 180 degrees, they are called supplementary angles. Few examples of supplementary angles would be 600 and 1200 ; 900 and 900 ; 100 and 1700 ; 1000 + 800.
Other types of angles in geometry include complementary angles, which are when the two angles sum up to 90 degrees. For example, 450 and 450; 300 and 600. In the study of geometry, supplementary and complementary angles are very important. We have also heard of congruent figures in geometry, which basically means two identical figures that are mirror images of each other. Complementary and supplementary angle theorems assist in the development of postulates and proofs for such geometry problems. Apart from this, when two lines intersect at X, vertical angles are created, and the two opposite angles at the intersection point are called vertically opposite angles.
We deal with many quadrilaterals in geometry, and the vast majority of these quadrilaterals have parallel lines, so let us look at the parallel lines. If any third line, called the transversal, cuts the two horizontal straight parallel lines, eight angles are created, four at each intersection. Now these eight angles would either be supplementary or complementary. The crucial thing to consider here is that the two interior angles on the same side are supplementary, as are two external angles on the same side.
To get the concepts of supplementary and complementary angles clear, the students can take the help of math worksheets, as worksheets expose the students to a variety of questions which broadens their scope of understanding as well as practice. Math worksheets are easily available online these days. One such website is Cuemath which is trusted by most of the students and parents as it established itself as a trustworthy brand. Depending on the age of the child and their understanding level, Cuemath has interactive and engaging worksheets, which will help in strengthening the basics of geometry.
Geometry is a subject that teaches us how to measure and locate angles. When the two rays of line converge at a point, an angle is formed. These rays are then referred to as the angle’s sides, and they share a similar point, also known as the angle’s vertex. Angles are categorized as supplementary angles or complementary based on a set of parameters that we will discuss here.
We must have encountered qualitative terms such as straight, angled, laying back, and so on. It is a normal occurrence in the natural universe for two lines or planes to not always be perfectly matched with each other. The extent of the difference in their orientation is measured in ‘Degrees,’ and the difference in their orientation is measured using a particular mathematical parameter called the ‘Angle.’ There are certain special angles in the study of angles, and one of them being, if the two angles add up to 180 degrees, the concept of a particular type of angles known as supplementary angles comes into the picture. Other angles which add up to 90 degrees are called the complementary angles. And one thing to note here is that these angles need not be adjacent to each other.
If we visualize the two rays forming an angle with orientations that are precisely opposite, they will form a 180-degree angle in the center, and the two rays will appear to be one straight line. This is where the value of 180 comes into play, and this is the angle that the straight line is creating. In a diagram, both 180 degrees and 0 degrees tend to be the same, but it is important to observe that the line is a ray, and direction makes all the sense. To summarize the definition of supplementary angles in simple terms, it can be said that when two angles add up to 180 degrees, they are called supplementary angles. Few examples of supplementary angles would be 600 and 1200 ; 900 and 900 ; 100 and 1700 ; 1000 + 800.
Other types of angles in geometry include complementary angles, which are when the two angles sum up to 90 degrees. For example, 450 and 450; 300 and 600. In the study of geometry, supplementary and complementary angles are very important. We have also heard of congruent figures in geometry, which basically means two identical figures that are mirror images of each other. Complementary and supplementary angle theorems assist in the development of postulates and proofs for such geometry problems. Apart from this, when two lines intersect at X, vertical angles are created, and the two opposite angles at the intersection point are called vertically opposite angles.
We deal with many quadrilaterals in geometry, and the vast majority of these quadrilaterals have parallel lines, so let us look at the parallel lines. If any third line, called the transversal, cuts the two horizontal straight parallel lines, eight angles are created, four at each intersection. Now these eight angles would either be supplementary or complementary. The crucial thing to consider here is that the two interior angles on the same side are supplementary, as are two external angles on the same side.
To get the concepts of supplementary and complementary angles clear, the students can take the help of math worksheets, as worksheets expose the students to a variety of questions which broadens their scope of understanding as well as practice. Math worksheets are easily available online these days. One such website is Cuemath which is trusted by most of the students and parents as it established itself as a trustworthy brand. Depending on the age of the child and their understanding level, Cuemath has interactive and engaging worksheets, which will help in strengthening the basics of geometry.
