How to Measure a Reflex Angle?

Follow the steps below to measure a reflex angle:

Step 1: Place the center of the protractor at the vertex of the angle.

Step 2: Align one arm of the protractor counterclockwise with one of the rays forming the angle.

Step 3: Read the degree marking at the end of the second ray. This measure is the size of the relfex angle.

Reflex Angle in Geometry

Reflex Angle is one of the many types of angles introduced in geometry, characterized by its measurement between 180° and 360°. Geometry is a branch of mathematics that deals with the study of shapes, sizes, and positions of objects in space. Angles are a fundamental concept in geometry that helps us describe and understand the relationships between lines, segments, and shapes. 

However, one type of angle that often confuses students is the reflex angle. A reflex angle is identified by their measurements which is greater than 180° but less than 360°. A reflex angle is characterized by its wide opening, typically spanning more than half of a circle. In other words, it typically resembles the ‘C’ shape or is more extended than that.

Here, we will explore more about a reflex angle, real-life examples of reflex angle, reflex angle comparison with other angles such as right angle, acute angle, obtuse angle, zero angle, and more. The blog will also provide information on applications of reflex angle, and properties of the reflex angle. Let’s first understand what is the definition of a Reflex Angle.

Table of Content

  • What is a Reflex Angle?
    • Reflex Angle Definition
  • Degree Measure of Reflex Angles
  • Reflex Angle Examples in Real-Life
  • Reflex Angle in Clock
  • How to Measure a Reflex Angle?
  • How to Draw a Reflex Angle?
  • Comparison of Reflex Angle with Other Angles
  • Properties of Reflex Angle
  • Applications of Reflex Angle
  • Solved Problems on Reflex Angle
  • Practice Questions on Reflex Angle

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What is a Reflex Angle?

A reflex angle is a type of angle that measures more than 180° but less than 360°. It is an angle that turns more than halfway around a circle. In simpler terms, a reflex angle is an angle that is bent backwards beyond a straight line but doesn’t complete a full process (which is 360°)....

Degree Measure of Reflex Angles

Some degree examples of reflex angle (greater than 180° and less than 360°):...

Reflex Angle Examples in Real-Life

Let’s understand some common examples of a reflex angle:...

Reflex Angle in Clock

As there are two hands on any analog clock, and these hands can display all possible angles between them, in both clockwise and counterclockwise directions. These hands can represent angles such as straight angles, complete angles, acute angles, obtuse angles, and right angles. For reflex angles, we can observe the following examples:...

How to Measure a Reflex Angle?

Follow the steps below to measure a reflex angle:...

How to Draw a Reflex Angle?

To draw a reflex angle, follow the below-mentioned steps:...

Comparison of Reflex Angle with Other Angles

Here’s a comparison between reflex angle and other types of angles i.e acute, obtuse, straight, full circle, and right angle:...

Properties of Reflex Angle

There are several properties of a reflex angle which define their characteristic. Below we have listed some of the properties of a reflex angle:...

Applications of Reflex Angle

There are several applications of a reflex angle such as navigation, surveying and geodesy, robotics, structural engineering, physics, art and design, etc. Below we have discussed all of these in detail:...

Solved Problems on Reflex Angle

Problem 1: What is the reflex angle of 110°?...

Practice Questions on Reflex Angle

Problem 1: A wall clock reads 3:30. Calculate the measure of the reflex angle formed by the hour and minute hands....

Reflex Angle – FAQs

What are Reflex Angles?...