Understanding Obtuse Angles: Definition, Examples, and Visualization

obtuse angle

An obtuse angle is an angle that measures greater than 90 degrees but less than 180 degrees

An obtuse angle is an angle that measures greater than 90 degrees but less than 180 degrees. It is called “obtuse” because it is larger than a right angle (90 degrees) and does not form a straight line (180 degrees).

To better understand this, let’s consider an example. If you draw a straight line and then draw another line that intersects it at a specific point, the angle formed between these two lines is called an angle.

If this angle measures less than 90 degrees, it is called an acute angle. For example, if the angle measures 30 degrees, it is an acute angle.

If the angle measures exactly 90 degrees, it is called a right angle. This is when two lines are perpendicular to each other and form a square corner.

However, if the angle measures more than 90 degrees, such as 120 degrees, 150 degrees, or any other value greater than 90 degrees but less than 180 degrees, it is called an obtuse angle.

To help visualize an obtuse angle, you can think of an open door or a stretched-out “V” shape. In both cases, the angle formed is greater than 90 degrees, but less than 180 degrees.

It’s important to note that angles in a triangle must add up to 180 degrees. Therefore, in a triangle, an obtuse angle (greater than 90 degrees) would be accompanied by two acute angles (each measuring less than 90 degrees).

I hope this explanation helps you understand what an obtuse angle is. If you have any further questions or need more examples, please let me know!

More Answers:

Proving Triangle Congruence with AAS: Understanding the Angle-Angle-Side Postulate
Exploring the Properties and Applications of Right Angles: A Comprehensive Guide to Geometry and Everyday Life
Understanding Acute Angles: Definition and Examples

Error 403 The request cannot be completed because you have exceeded your quota. : quotaExceeded

Share:

Recent Posts

Mathematics in Cancer Treatment

How Mathematics is Transforming Cancer Treatment Mathematics plays an increasingly vital role in the fight against cancer mesothelioma. From optimizing drug delivery systems to personalizing

Read More »