Understanding Obtuse Angles: Definition, Characteristics, and Examples

Obtuse Angle

Any angle larger than 90 degrees (91° to 360°)

An obtuse angle is a type of angle that measures greater than 90 degrees but less than 180 degrees. It is characterized by its openness and the space between its sides. In simple terms, an obtuse angle appears wider than a right angle but narrower than a straight angle.

To better understand this, let’s consider a visual representation. Imagine drawing a line segment and placing another line segment so that they intersect at a common point, forming an angle. If the angle formed measures greater than 90 degrees but less than 180 degrees, it is classified as an obtuse angle.

For example, in the figure below, angle AOB is an obtuse angle:
A
/
O
\
B

When measuring an obtuse angle, the vertex (common point where the two lines intersect) is typically labeled as the middle letter, while the other two letters indicate the endpoints of the rays forming the angle.

Obtuse angles can be found in various real-world situations. For instance, consider the angle formed by an opened book on a table. As you widen the opening between the two covers, the angle formed becomes increasingly obtuse.

In summary, an obtuse angle is an angle that measures greater than 90 degrees but less than 180 degrees. It is characterized by its openness and wider appearance compared to a right angle.

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