Obtuse Angle Definition
What Are The Characteristics Of An Obtuse Angle?
The following are the unique geometric characteristics.
A angle is created when two rays intersect.
The intersection of the two rays is called the vertex.
There is a standard method of labeling any angle. First label the vertex; we choose to label it
. The two rays are labeled
of the angle between two rays is determined by the space between the rays. See diagram below. One ray is horizontal thus giving us a reference point. The distance of separation between rays
B and C
determines the obtuse angle's value.
Is there a standard way of writing this type of angle as a mathematical expression? The answer is yes. Here are the details: (1) All angles must start with the
character. (2) The vertex must be the center label when writing an angle. (3) Valid obtuse angle statements in this example are
An obtuse angle is always greater than 90° but less than 180°. In the example below.
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