Understanding Obtuse Angles | Definition, Characteristics, and Visual Representation in Geometry

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. In other words, it is an angle that is wider or more open than a right angle, but not a straight angle.

To visualize an obtuse angle, imagine a clock where the two hands are at positions that create an angle wider than a right angle but less than a straight angle. For example, if the minute hand is at the 6 o’clock position and the hour hand is at the 2 o’clock position, the angle between them would be an obtuse angle.

Obtuse angles can also be identified based on their characteristics. They have one interior angle that is greater than 90 degrees. The other interior angle will be less than 90 degrees, and together, they add up to 180 degrees.

In geometry, obtuse angles are often represented by a small arc on the shape, called a circular arc, adjacent to the angle symbol (∠). The circular arc is drawn with a little dot or symbol indicating the angle’s measure.

Example: In the image below, angle AOB is an obtuse angle because it measures more than 90 degrees but less than 180 degrees.

A
|\
| \
| \
| \
| \
| \
| \
|——-B

More Answers:
Understanding and Classifying Angles in Mathematics | A Comprehensive Guide to Geometric Shapes and Measurements
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Understanding the Midpoint Concept and Formula in Mathematics | Explained with Examples

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