Types of Angles | Learn with Real-Life Examples

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Before we get cracking with the different types of angles, let’s first understand where and how we use angles in our everyday life.

Why Do We Need Angles?

Angles are used to help build structures that won’t fall apart.


Even to pass the ball to the next player in soccer, we use angles.


Artists use angles every day to draw realistic pictures.


Architects can’t do without them while designing roads and bridges.

Road Bridge

This is just to a give you a fleeting glimpse of how angles pervade nearly every sphere of life, making learning angles twice as vital. Let’s now dig into the lesson!

What Are the Types of Angles?

Angles can be classified into different types based on their measures.

Types of Angles

An Acute Angle

Let's take these two rays. We'll keep one ray fixed and turn the other one. We have shown the rays in different colors so the rotation is easily understood.

Acute Angle

Click to view how a ray turns to form an acute angle.

This angle, which measures greater than 0° and less than 90°, is known as the acute angle.

Acute Angles in Real Life

Acute Angle Real Life

Just walk around, and you are bound to make a rich list of examples of acute angles.

A Right Angle

This time we’ll rotate our ray until it points up straight and is perpendicular to the other ray. In this case, the angle measures exactly 90°.

Right Angle

Click to watch how a right angle is formed.

This is called a right angle and is indicated with a little square rather than an arc.

Right Angles in Real Life

Right Angle Real Life

Just cast around a little bit, and you may find hundreds of examples to add on to your list of right angles.

An Obtuse Angle

Let’s rotate our ray past 90° now.

Obtuse Angle

Click to see how two rays form an obtuse angle.

As you can see, the angle is larger than 90° but less than 180°. This is an obtuse angle.

Obtuse Angles in Real Life

Obtuse Angle Real Life

These are just a few instances from the tens of hundreds of obtuse angles that abound around you; look around for a good uptake of examples.

A Straight Angle

Let’s rotate the ray further so it points in a direction opposite to the other ray, helping both the rays make a straight line.

Straight Angle

Click to view how a ray turns to form a straight angle.

The angle formed here is a straight angle. It measures 180°, which makes is pretty obvious where it gets its name from. A straight angle can be formed by adding two right angles.

Straight Angles in Real Life

Straight Angle Real Life

Reflex and Complete Angles

The angle formed when the ray moves past 180° and lies between 180° and 360° is called a reflex angle.

Reflex Angle

Click to watch how a reflex angle is formed.

The angle formed when the ray completes one full rotation measures 360° and is called a full or complete angle.

Complete Angle

Click to see how a complete angle is formed.

Reflex and Complete Angles in Real Life

Reflex Angle

Reflex Angle

Complete Angle

Complete Angles

Bringing All Types of Angles Together!

All types of Angles

Click to catch a glimpse of types of angles - all at once!

Have Fun with Angles!

Count the number of acute and right angles in each letter in the word 'MATH'.

Alphabet M

Alphabet A

Alphabet T

Alphabet H

Click on each letter to see the position of the angles.

Did you count 12? Math is a real game changer, isn't it?

Whizzing Through the Types

  • Acute angles measure between 0° and 90°.

  • Right angles are exactly 90°.

  • Obtuse angles are more than 90° but less than 180°.

  • Straight angles measure 180°.

  • Reflex angles are between 180° and 360°.

  • The angle created by one full rotation measures 360°, and it’s called a complete angle.

Sample Worksheets

Feed your skills with lots of informed practice, using our free printable Types of Angles worksheets.

Take a Types of Angles Quiz Now!


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