Important Results on Angles

There are some results on angles that are generally used while solving problems of geometry. We have mentioned some of them down below.

  • Angle on any side of a straight line is 180°
  • Angle around a point is 360°
  • Vertically Opposite Angles are equal
  • Alternate Interior Angles are equal
  • Corresponding Angles are equal.
  • Sum of all three angles in a triangle is 180°
  • Sum of all four angles in a quadrilateral is 360°
  • Linear Pair always sum to 180° and are formed on either side of a straight line.
  • Complementary Angles sum to 90°
  • Supplementary Angles sum to 180°

Article Related to Angles:

Angles Definition, Types and Examples

An angle is a figure which is formed by two rays or lines that share a common endpoint is called an angle. The word “angle” is derived from the Latin word “angulus”, which means “corner”. The two lines joined together are called the arms of the angle and the measure of the opening between them is the value of the angle between these two lines.

In this article, we will learn about the definition and parts of angles in Geometry, their representation, examples, and types like acute angle, right angle, obtuse angle, etc. along with FAQs.

Table of Content

  • Angle Definition
  • Parts of an Angle
  • Types of Angles
  • Types of Angles Based on Measurement
  • Positive and Negative Angles
  • Types of Angles in Pair
  • How to Measure an Angle?
  • Steps to Construct an Angle

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Angle Definition

An Angle is a shape or space formed at the meeting point of two intersecting rays....

Representation of an Angle

While writing an angle ∠ is used along with the points. The common point is written in between the two other points. For Example, if we have ∠AOB, it means O is the common point at which two rays OA and OB are meeting and an angle is formed....

Parts of an Angle

An angle consists of the following parts :...

Types of Angles

There are different types of angles judged on the basis of four different parameters. They are mentioned as follows:...

Types of Angles Based on Measurement

There are six types of angles on the basis of measurement. They are:...

Positive and Negative Angles

There are two types of angles on the basis of Rotation. They are listed as follows:...

Types of Angles in Pair

There are five types of angles on the basis of pairs. They are:...

Angles Formed by Transversal and Parallel Lines

There are four types of angles formed by transversal and parallel lines. They are :...

Interior and Exterior Angles

Interior and exterior angles depends on the region of the angle where they are made. Let’s learn about interior and exterior angles below....

Measuring an Angle

Angle can be measured in ‘Degree’ or ‘Radian’. In the case of Degrees, the measurement goes from 0° to 360° while in the case of Radian measurement goes from 0 to π....

How to Measure an Angle?

An angle can be measured easily by using a protector or compass. In general, we use the protector to measure the angles. Follow the steps added below to measure the angle,...

Steps to Construct an Angle

An angle can be easily constructed using the proctor or compass. To construct an angle using the protractor we follow the steps added below,...

Important Results on Angles

There are some results on angles that are generally used while solving problems of geometry. We have mentioned some of them down below....

Examples on Angles

Example 1: Find the complementary angle of ∠A = 48o....

Practice Problems on Angles

Q1. Find the Supplementary Angle of ∠A = 82°...

Angles Definition, Types and Examples – FAQs

What are the different types of Angles?...

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