Obtuse Angle – Definition with Examples

What is Obtuse Angle?

An obtuse angle is a type of angle that is always larger than 90° but less than 180°. In other words, it lies between 90° and 180°. 

In the given figure, ∠XYZ shows an obtuse angle.


It is an obtuse angle as it measures more than 90 degrees as shown:


Some more examples of obtuse angle 

example of obtuse angle

Here, in Fig: 01, ∠DOQ forms an obtuse angle. And, in Fig: 02 and Fig: 03 ∠ACB  and ∠ABC form obtuse angles respectively.

Obtuse Angle in Polygons:

 In triangle MNO, ∠N is an obtuse angle. In parallelogram PQRS, ∠P is an obtuse angle. In this hexagon, all angles are obtuse.

In the given polygon ABCDEF, can you tell which angles are obtuse and which are not? What do you think about ∠x ?

measure obtuse angle in polygon

Here, ∠x  is an obtuse angle with a measure of 168°

Real life examples of obtuse angles:

real life example of obtuse angle

It is important to have a clear idea about the angle formation to understand the obtuse angle. 

Drawing an obtuse angle

We know that when two rays meet at a point, they form an angle. The two rays are called the arms of the angle, and the point is called the vertex. 

Let us learn the steps to draw an obtuse angle using a protractor:

drawing an obtuse angle