An angle greater than 90 degrees is called an obtuse angle. In geometry, an angle is formed when two rays or line segments meet at a common endpoint. The measure of an angle is typically given in degrees, with a right angle measuring exactly 90 degrees.

When an angle measures more than 90 degrees but less than 180 degrees, it is classified as an obtuse angle. An obtuse angle is wider or "more open" than a right angle, as it extends beyond the perpendicular line formed by two intersecting lines. Visually, an obtuse angle can be recognized by its "open" appearance, with the two lines forming the angle pointing away from each other.

Obtuse angles can be found in various geometric shapes and figures, such as triangles, quadrilaterals, and polygons. In a triangle, an obtuse angle occurs when one of the angles is greater than 90 degrees. Similarly, in a quadrilateral, an obtuse angle can be formed when one of the interior angles is greater than 90 degrees.

Understanding obtuse angles is essential in geometry and trigonometry, as they play a crucial role in determining the relationships between different angles and sides of shapes. For example, the Law of Sines and the Law of Cosines, which are used to solve triangles and other geometric problems, rely on the measurements of angles, including obtuse angles.

In practical applications, obtuse angles can be found in various real-world scenarios, such as roof slopes, road inclines, and architectural designs. Engineers, architects, and designers often use obtuse angles to create structures and objects with specific angles and dimensions.

In conclusion, an angle greater than 90 degrees is known as an obtuse angle. It is wider and more open than a right angle, with a measurement between 90 and 180 degrees. Understanding obtuse angles is important in geometry and trigonometry, as they provide valuable insights into the properties of shapes and figures.

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