Understanding Obtuse Angles | Definition, Examples, and Importance in Geometry

obtuse angle

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

An obtuse angle is an angle that measures more than 90 degrees but less than 180 degrees. In other words, it is an angle that is wider than a right angle (90 degrees), but not a straight angle (180 degrees).

To identify an obtuse angle, you can use a protractor. Place the protractor on the vertex (the point where the two lines of the angle intersect) and align the baseline of the protractor with one of the angle’s arms. Then, read the degree marked on the protractor where the other arm of the angle intersects.

For example, in the figure below, angle AOB is an obtuse angle because it measures greater than 90 degrees but less than 180 degrees:

O
|\
| \
| \
| \
A—-B

Obtuse angles can be found in various real-life situations. For instance, if you imagine a door partially open or a triangle that has one of its angles wider than 90 degrees, those angles can be classified as obtuse angles.

Understanding obtuse angles is essential in geometry, as they are one of the three basic types of angles, alongside acute angles (less than 90 degrees) and right angles (exactly 90 degrees). They play a significant role in studying shapes, angles, and trigonometry.

More Answers:
Understanding the Side Ratio of a 30-60-90 Triangle | Explained and Simplified
Determining if a Triangle is Obtuse | Steps and Explanation
Understanding Acute Triangles | Exploring Side Lengths and the Triangle Inequality Theorem

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