What is an Angle?
When two rays share a common endpoint, the geometric figure created is called an angle. The rays or lines that intersect or join at a common point to form the angle are called the sides of that angle. The units used for measuring angles are degrees or radians. If two angles are displayed together to represent some geometrical property, it is referred to as angle pairs. In Mathematics, there are several angle pairs such as complementary angles, supplementary angles, adjacent angles, etc. In this article, we will learn more about all the available angle pairs.
Pairs of Angles
If the sum of two angles adds up to give 90 degrees, such a pair of angles is known as complementary angles. For example, 400 and 500 are complementary angles because 400 + 500 = 900. If we have two right angles, they cannot complement each other. Similarly, two obtuse angles do not complement each other. Any two complementary angles are always acute.
If the sum of two angles adds up to give 180 degrees or a straight line, such a pair of angles is known as supplementary angles. For example, 600 and 1200 are supplementary angles because 600 + 1200 = 1800.
Vertically Opposite Angles
When two lines intersect, the pair of angles so formed is known as vertically opposite angles. These angles are opposite to each other. These vertical angles are equal in measure. Suppose we have two intersecting lines forming angles A, B, C, and D. A and C will form one pair of vertical angles that are equal to each other, while B and D will form the other vertical pair.
Alternate Interior Angles
When a line intersects two parallel lines, the pair of angles so formed are known as alternate interior angles. These angles are always equal to each other.
Alternate Exterior Angles
When a line intersects two parallel lines, the vertically opposite angles of the alternate interior angles are known as the alternate exterior angles. These angles are equivalent to each other.
The pairs of angles that get formed when a line intersects two parallel lines are known as corresponding angles. These pairs of corresponding angles are also equal to each other.
When a line intersects two parallel lines, the pair of angles that are next to each other are known as adjacent angles. The sum of two adjacent angles is always 1800.
How to Study about Pairs of Angles?
Angles form the basics of Geometry. If kids do not understand this concept, they will find it very hard to solve questions based on Geometry, Trigonometry, and other sister topics. Thus, the best way for them to learn this topic is by getting the proper guidance and solving numerous questions. Cuemath is an amazing online educational platform that provides such resources to kids. The certified tutors use worksheets, workbooks, math puzzles, games, and visual simulations to teach a class and ensure that kids build a robust Mathematical foundation. They combine fun with studies enabling kids to work at their own pace and have an enjoyable learning experience. You can learn more by visiting the Cuemath website.
The final goal for kids is to develop such a deep-rooted understanding of angles that no questions will be too difficult for them to solve. Hopefully, this article gives you an understanding of pairs of angles and how to study them. I wish you all the best in your quest to learn more about angles!