angle
In mathematics, an angle is a geometric figure formed by two rays or line segments that share a common endpoint, known as the vertex
In mathematics, an angle is a geometric figure formed by two rays or line segments that share a common endpoint, known as the vertex. The rays or line segments that form the angle are referred to as the sides of the angle.
Angles are typically measured in degrees or radians. A degree is a unit of measurement where one complete rotation around a circle is divided into 360 equal parts. Each part is equal to 1 degree. On the other hand, a radian is a unit of measurement based on the radius of a circle. One radian is defined as the angle subtended at the center of a circle by an arc whose length is equal to the radius of that circle.
Angles can be classified into different types based on their measures. Here are a few common classifications:
1. Acute Angle: An angle whose measure is greater than 0 degrees and less than 90 degrees.
2. Right Angle: An angle whose measure is exactly 90 degrees. It forms a perfect “L” shape.
3. Obtuse Angle: An angle whose measure is greater than 90 degrees and less than 180 degrees.
4. Straight Angle: An angle whose measure is exactly 180 degrees. It forms a straight line.
5. Reflex Angle: An angle whose measure is greater than 180 degrees and less than 360 degrees.
6. Complementary Angles: Two angles are said to be complementary if their measures add up to 90 degrees.
7. Supplementary Angles: Two angles are said to be supplementary if their measures add up to 180 degrees.
Understanding angles is essential in various branches of mathematics, including geometry, trigonometry, and calculus, as angles play a significant role in various calculations and proofs.
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