Understanding Angles: A Comprehensive Guide to Geometry and Trigonometry

angle

created by rotating a ray about its endpoint

An angle is a geometric shape that is formed by two rays which share a common endpoint, called the vertex. The two rays are called the arms or sides of the angle. An angle is typically measured in degrees or radians, and is denoted by the symbol ∠.

Angles can be classified based on their degree of openness. Angles that measure less than 90 degrees are called acute angles, while angles that measure exactly 90 degrees are called right angles. Angles that measure between 90 and 180 degrees are called obtuse angles, and angles that measure exactly 180 degrees are called straight angles. Lastly, angles that measure more than 180 degrees are referred to as reflex angles.

Angles have various uses in geometry and trigonometry, including in calculating the size of shapes, the direction between two points, and the range of motion for objects.

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