Maths is one of the most important subjects in student life. Maths has been divided into various categories based on different topics taught in maths. Algebra, calculus, geometry and many more such fields are there in maths. One such fold that holds huge importance in the field of maths is geometry. A lot of topics are covered under geometry, it mainly deals with angles and shapes. Geometry is considered one of the most important topics in maths because of its wide application in the real world. In this article, we will be discussing angles and specifically alternate interior angles.
Trigonometry is one of the most ancient branches of mathematics. It deals with the study of right angles, triangles and angles. This is one of the most important branches of mathematics. It is taught to children from secondary classes, without trigonometry mathematics is incomplete. Trigonometry is one of the root causes for manufacturing buildings and apartments. It is one of the basic concepts which should be known to every individual.
To form an angle, we need at least two intersecting lines. Whenever a particular shape is formed it gives rise to interior and exterior angles. Adjacent angles are those that are formed inside the shape. When a transverse line cuts two straight lines, then two types of interior angles are formed. The two interior angles formed are known as co-interior angles and alternate interior angles. We are going to discuss them in detail.
Acute angle: It can be defined as the angle which is less than ninety degrees. Then a triangle whose one angles are less than ninety degrees is considered as an acute angles triangle. For example, take an equilateral triangle.
Obtuse angles: It can be defined as the angle which is greater than ninety degrees. Suppose a triangle whose one angle is greater than ninety degrees is considered an obtuse angle triangle.
Right angle: It can be defined as a whose measure is exactly ninety degrees. Take an example of a right-angled triangle. It is that type of triangle whose one angle is exactly 90 degrees.
Co-interior angles – It can be defined as the pair of non-adjacent interior angles which always lies on the same side of the transversal. They are also called supplementary angles as the sum of co interior angles is also equal to 180 degrees that are the same as that of supplementary angles.
Alternate interior angles – when two parallel lines get intersected by a third transverse line then the angle formed is defined as alternate interior angles.
Sum of interior angles: There are thousands of shapes that can be formed and most of the shapes consist of a vertex in them and a vertex always have an interior and exterior angle. There is a theorem called as angle sum theorem according to which the sum of all the interior angles of a triangle is equal to 180 degrees. Subtract two from the number of sides of the given polygon and multiply it with 180 degrees, this gives us the correct sum of the interior angles of a polygon.
In the above article, we have tried our best to discuss all the aspects of interior angles. Interior angle is an important topic, it forms the basics of geometry. That’s why everyone should give it an ample amount of time to get a good hold of it. There are many platforms available online that are providing amazing content on mathematics. One such platform that has done extremely well in explaining mathematics is Cuemath. They are providing the best information regarding all the topics of mathematics. Anyone can have access to the content provided by Cuemath as it is available online.
Maths is an important subject, concepts like Adjacent angles have wide applications in real life. Not only students but every single individual who is weak in this particular subject should learn from Cuemath and make their concepts strong as it will help us in every phase of life.