An angle that is less than 180 degrees but more than 90 degrees is called an obtuse angle. Obtuse angles play a significant role in both geometry and various real-world applications.
To further elaborate, angles are categorized based on their measurements. The main categories are:
- Acute Angle: An angle measuring less than 90 degrees.
- Right Angle: An angle measuring exactly 90 degrees.
- Obtuse Angle: An angle measuring between 90 degrees and 180 degrees, which is precisely what defines it.
- Straight Angle: An angle measuring exactly 180 degrees.
- Reflex Angle: An angle measuring more than 180 degrees but less than 360 degrees.
Obtuse angles can be found in various fields such as architecture, design, and even in nature. For example, the pitch of a roof often incorporates obtuse angles for aesthetic purposes and functionality. In design, understanding obtuse angles can help in creating more dynamic and visually appealing compositions. Furthermore, they are essential in certain mathematical calculations, especially in trigonometry, where angles are often used to determine side lengths and other properties of triangles.
In summary, an angle that falls within the range of more than 90 degrees and less than 180 degrees is known as an obtuse angle. Understanding this classification helps in grasping more complex geometrical concepts and enhances problem-solving skills in mathematics.