Types of Angles: The word angle is derived from the Latin word “angulus” which is formed by joining two rays together at a common point. This common point is referred to as a node or vertex. The two rays are referred to as arms. Angle is generally represented by  '∠'. There are various types of angles in geometry. Angles are an important subject of geometry. So this article we will discuss different types of angles.

Types of Angles

The two arms of the angle combined together differently to form different types of angles, such as angles which is at the same position are called zero angles, angles that are more than 0° but less than 90° are called acute angles, angles that is exactly 90° is called as Right angle, and other angles which discussed in detail below. There are different types of angles, that is-

  1. Magnitude
  2. Rotation

Types of Angles Based on Magnitude

Based on Magnitude there are seven different types, these are-

  1. Zero Angles
  2. Acute Angle
  3. Right Angles
  4. Obtuse Angle
  5. Straight Angle
  6. Reflex Angle
  7. Complete/Full Angle
Types of Angles
Types of Angles Based on Magnitude
S.No. Types of AnglesDefinitionRepresented by
1.Zero AngleThe Angle is formed when both the angle are at the same position.
2.Acute AngleThe Angle is formed when both arms lie between 0° and 90°, that is greater than 0° and less than 90°0°<a< 90° 
3.Right AngleThe angle which measures exactly 90° is a right anglea=90°
4.Obtuse AngleAn angle whose measure is greater than 90° but less than 180°90°<a< 180°
5.Straight AngleThe angle whose measure is exactly equal to 180°a =180°
6.Reflex AngleThe Angle is formed when both arms lie between 180° and 360°, that is greater than 180° and less than 360°180°<a< 360°
7.Complete/Full AngleThe angle whose measure is exactly equal to 360°a =360°

Types of Angles Based on Rotation

Based upon angles based upon Rotation, these are-

  1. Positive Angles
  2. Negative Angles
Types of Angles
Types of Angles Based on Rotation
S.No. Types of Angles Definition
1.Positive Angles Angles which are measured in an anti-clockwise direction from base.
2.Negative AnglesAngles which are measured in a clockwise direction from base.

Types of Angles Pairs

Angle Pairs are defined as when two lines share a common endpoint, called a Vertex then an angle is formed between these two lines. There are five different types of angle pairs, that is-

  1. Complementary angles
  2. Supplementary angles
  3. Linear pair
  4. Adjacent angles
  5. Vertically opposite angles
Types of Angles Pairs
S.No.Types of Angles PairsDefinition
1.Complementary anglesWhen the sum of angles is 90°, Such angles are called complementary angles. 
2.Supplementary anglesWhen the sum of angles is 180∘ are known as supplementary angles. When two angles are supplementary, each angle is called as supplement of the other. 
3.Linear pairA linear pair of angles are formed when two lines intersect. Two angles are said to be linear if they are adjacent angles formed by 2 intersecting lines. The measure of a straight angle is 180°
4.Adjacent anglesAdjacent angles are two angles that have a common vertex and a common side but do not overlap.
5.Vertically opposite anglesWhen two lines intersect with each other the opposite angles are equal.
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Types of Angles- FAQs

Ans. There are seven types of angles based upon magnitude. They are- Zero angles, Acute Angles, Obtuse Angles, Right Angles, Straight Angles, Reflex Angles and Complete/Full Angles..

Ans. There are two types of angles based on rotation. They are- Positive angles and Negative Angles

Ans. Angle Pairs are defined as when two lines share a common endpoint, called a Vertex then an angle is formed between these two lines. There are five different types of angle pairs, that is- Complementary angles, Supplementary angles, Linear pair, Adjacent angles, Vertically opposite angles

Ans. The Angle is formed when both arms lie between 0° and 90°, that is greater than 0° and less than 90°.

Ans. The Angle is formed when both arms lie between 180° and 360°, that is greater than 180° and less than 360°.