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Angles are fundamental concepts in geometry and trigonometry, representing the amount of rotation between two rays or lines that share a common endpoint, known as the vertex. They are typically measured in degrees, radians, or gradians. In Euclidean geometry, angles are classified based on their measure: acute angles are less than 90 degrees, right angles are exactly 90 degrees, obtuse angles are between 90 and 180 degrees, and straight angles are exactly 180 degrees. Angles greater than 180 degrees but less than 360 degrees are called reflex angles. In trigonometry, angles are used to define the relationships between the sides and angles of triangles, leading to the development of trigonometric functions such as sine, cosine, and tangent. Angles also play a crucial role in various fields, including physics, engineering, and computer graphics, where they are used to describe the orientation and movement of objects.