Angles – The Most Crucial Concept of the Subject Mathematics

A grid of six images showing black lines and red arcs illustrating different types of angles: acute (less than 90°), right (90°), obtuse (more than 90°), straight (180°), reflex (more than 180° but less than 360°), and full rotation (360°).

One of the crucial parts of mathematics is geometry. Angles are the most common topic of geometry. In our daily life, we come across a lot of objects in our surroundings. When one will notice it, one will find that all the objects in our world are inclined at some angle with respect to any point or line. An angle is mostly measured in degrees or radians. The majority of shapes have a set angle, such as all three angles of an equilateral triangle being 60 degrees, and all sides of a rectangle and square being 90 degrees. When the angle between two lines is zero degrees, they are said to be parallel, and when the angle between the two lines is ninety degrees, they are said to be perpendicular. As previously said, there are numerous classifications of angles; however, we will focus on corresponding angles. They are categorized into two types. One is formed by parallel lines and a transversal, whereas the other one is formed by two lines that are not parallel and a transversal. Let us first discuss corresponding angles formed due to parallel lines and a transversal.


For understanding corresponding angles due to parallel lines and a transversal, it is necessary to know about parallel lines. One of the major conditions of parallel lines is that they never meet each other at any point. Two lines are said to be parallel lines when the angle between them is equal to zero degrees. The distance between two parallel lines is always constant and it cannot be zero. There are a lot of examples of parallel lines that we observe in our daily life. Railway tracks can be considered as an example for parallel lines. Now let us move our discussion to corresponding angles.


Corresponding angles (parallel lines and transversal): These angles are formed when two parallel lines are cut by the transversal. One can define them as when a third line intersects the two lines which are parallel to each other. The angles that are formed occupy the same relative position at all the intersected points. These angles are termed corresponding angles. Suppose there is a line that crosses both parallel lines. Now at the point where the transverse intersects both the parallel lines, there are a total of four angles formed. So, there will be a total of four pairs of corresponding angles formed with each parallel line. Now, one should also know that the corresponding angles that are formed by the parallel lines are always equal. When the transverse cuts the two parallel lines, not only corresponding angles are formed but few other angles are also formed like alternate interior and exterior angles.


Corresponding angles (non-parallel lines and transversal): In this case, when the transverse cuts the other two lines, then corresponding angles are formed. But in this case, there is no relation between the corresponding angles formed or we can say that the corresponding angles formed are not equal in this case as it was in parallel lines. Students need to have these concepts clear in their minds so that they can tackle tough mathematical problems more accurately and easily.


We attempted to cover all of the ideas related to corresponding angles in the preceding post. People can now discover a variety of platforms to obtain information thanks to the rise of online learning. Cuemath is one such platform. It is one of the most effective tools for making our math difficulties crystal plain. Its language is simple to comprehend. There are dozens of math-related subjects to read on it. Not only school or college students, but everyone of any age can benefit from this platform by obtaining access to the vast amount of information provided. In the last several years, the popularity of online learning has skyrocketed. Not only does studying from such online platforms save us energy, but it also saves us time. Such platforms should be used to their full potential.

Aijaz Alam is a highly experienced digital marketing professional with over 10 years in the field.He is recognized as an author, trainer, and consultant, bringing a wealth of expertise to his work. Throughout his career, Aijaz has worked with companies such as Arena Animation and previously operated a successful digital marketing website,, where he served an impressive roster of Fortune 250 companies. Currently, Aijaz is the proud founder and CEO of