Angles

 

What are Angles

When two rays combine with a common endpoint and the angle is formed. The two components of an angle are “sides” and “vertex”. The side can be categorized into terminal sides and initial sides (or vertical sides) as shown in the image below.

Representation of an Angle

Representation of an Angle

These two rays can combine in multiple fashions to form the different types of angles in mathematics. Let us begin by studying these different types of angles in geometry.

Parts of Angle

  • Vertex – Point where the arms meet.
  • Arms – Two straight line segments form a vertex.
  • Angle – If a ray is rotated about its endpoint, the measure of its rotation is called angle between its initial and final position.

Classification of Angles

Angles can be classified into two main types:

  • Based on Magnitude
  • Based on Rotation
Angle Types Based on Magnitude
Angle Types Based on Magnitude

Six Types of Angles

In Maths, there are mainly 5 types of angles based on their direction. These five angle types are the most common ones used in geometry. These are:

  • Acute Angles
  • Obtuse Angles
  • Right Angles
  • Straight Angles
  • Reflex Angles
  • Full Rotation

Types Of Angles:

In geometry, there are various types of angles, based on measurement. The names of basic angles are Acute angle, Obtuse angle, Right angle, Straight angle, reflex angle and full rotation. An angle is geometrical shape formed by joining two rays at their end-points. An angle is usually measured in degrees.

There are various types of angles in geometry. Angles form the core part of the geometry in mathematics. They are the fundamentals that eventually lead to the formation of the more complex geometrical figures and shapes.



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