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What are the 7 different types of angles?

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Geometry is the branch of mathematics, that deals with shapes and measurements like perimeter, area, and volume related to them. When considering measurements the degree of inclination is very important for the figures as figures with different inclinations tend to differ in properties of area and volume occupied by them. In the world of Mathematics, the inclination of two lines is given the formal name of an Angle. It denotes the degree of inclination of the two lines w.r.t each other. An angle is a measure formed when two rays meet at a common point (called Vertex). The names of basic angles are acute angle, right angle, obtuse angle, straight angle, reflex angle, and straight angle.

In this article, we will learn about what is an angle, the types of angles in geometry, the names of angles, examples, and others in detail.

What is an Angle?

Angle according to Euclidean Geometry can be defined as the figure that is formed by two rays (by their intersection). The rays are known as the sides of the angle and the common point shared by the two rays is known as the vertex of the angle. The image added below shows the angle,

Representation-of-an-angle

Angle tells about the rotation and the amount of rotation of a certain parameter. Therefore, in physics, angular displacement and the terms used in the rotation part are concerned with angles. There are three major types of angles heard, they are right angle, an acute angle, and an obtuse angle. However, there are seven major types of angles present. Let’s learn about all the Types of Angles,

What are 7 Different Types of Angles?

The name of seven types of Angles commonly used in Mathematics:

  • Zero Angle (0° in Measure)
  • Acute Angle (0 to 90° in Measure)
  • Right Angle (90° in Measure)
  • Obtuse Angle (90 to 180° in Measure)
  • Straight Angle (180° in Measure)
  • Reflex Angle (180 to 360° in Measure)
  • Complete Angle (360° in Measure)

Below is an explanation of each of the different types of angles with their figures:

Zero Angle

The two rays of the angle make zero degrees inclination w.r.t. each other i.e. the rays overlap. Here, Angle AOB denotes zero degrees in measure.

Zero-Angle

Acute Angle

The two rays of the angle make zero to nighty degrees inclination. Here, Angle AOB denotes Acute degrees in measure.

Acute Angle

Right Angle

The two rays of the angle make 90 degrees inclination. Here, Angle AOB denotes 90 degrees in measure.

Right Angle

Obtuse Angle

The two rays of the angle make ninety to one-hundred eighty degrees inclination. Here, Angle AOB denotes Obtuse degrees in measure.

Obtuse Angle

Straight Angle

The two rays of the angle make one-hundred eighty degrees inclination or the rays are straight line w.r.t to each other. Here, Angle AOB denotes 180 degrees in measure

Straight Angle

Reflex Angle

The two rays of the angle make one-hundred-eighty to three hundred sixty degrees inclination. Here, Angle AOB denotes Reflex angle in measure.

Reflexive Angle

Complete Angle

The two rays of the angle make three hundred sixty degrees inclination. Here, Angle AOB denotes Complete angle in measure.

Complete Angle

Article Related to Angle Types

Problems on Types of Angles

Problem 1: An Angle A measures 135° in measure. Which type of category does Angle A fall into?

Solution: 

Angle A lies between 90° to 180° in measure. Angle A is, therefore, an Obtuse Angle.

Problem 2: An Angle S measures 35° in measure. Which type of category Angle S falls into?

Solution: 

Angle S lies between 0° to 90° in measure. Angle S is therefore an Acute Angle.

Problem 3: An Angle X measures 235 degrees in measure. Which type of category Angle X falls into?

Solution: 

Angle X lies between 180° to 360° in measure. Angle X is therefore a Reflex Angle.

Problem 4: An Angle Z measures 335° in measure. Which type of category does Angle Z fall into?

Solution: 

Angle Z lies between 180° to 360° in measure. Angle Z is therefore a Reflex Angle.

Practice Questions on Types of Angles

Q1. Write the name of following angles

  1. 30°
  2. 65°
  3. 91°
  4. 90°
  5. 275°
  6. 360°

Q2. The foot and top of the table makes 90° with each other. What kind of am angle it is?

Q3. The screen makes an angle of 120° with the keyboard. What kind of angle it mades.

FAQs on 7 Types of Angles

1. What is an Angle?

An angle in mathematics is defined as the figure formed by joining two rays. Angles are used to define the rotation between two lines.

2. What are Different Types of Angles?

There are seven basic different types of angles in geometry that are,

  • Zero Angle
  • Acute Angle
  • Obtuse Angle
  • Right Angle
  • Straight Angle
  • Reflexive Angle
  • Complete Angle

3. What are Types of Triangles on the Basis of Angles?

There are three types of triangles based on angles,

  • Acute Angle Triangle
  • Obtuse Angle Triangle
  • Right Angle Trinagle

4. What are Acute Angles?

Acute angles are the angles whose measure is greater than 0 degrees but lesser than 90 degrees.

5. What are Obtuse Angles?

Obtuse angles are the angles whose measure is greater than 90 degrees but smaller than 180 degrees.

6. What is a Right Angle?

An angle whose value is equal to 90 degree is called the right angle.

7. What are Names of Angles?

The name of different angles are zero angle, acute angle, right angle, obtuse angle, straight angle, reflex angle and complete angle

8. What are Angle Types Based on Rotation?

The angle types based on Rotation are Positive Angles and Negative Angles

9. What are Types of Angle Pairs?

Angle Types based on Pairs are Vertically Opposite Angles, Complementary Angles, Supplementary Angles, Adjacent Angles, Corresponding Angles, Alternate Interior Angles, Alternate Exterior Angles, Consecutive Interior Angles and Linear Pair



Last Updated : 19 Dec, 2023
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