Angle
In mathematics, an angle is a geometric figure formed by two rays called the sides, which share a common endpoint called the vertex
In mathematics, an angle is a geometric figure formed by two rays called the sides, which share a common endpoint called the vertex. Angles are measured in degrees or radians and are used to represent the amount of rotation between the two rays. They are typically denoted using the symbol ∠.
There are several types of angles:
1. Acute angle: An acute angle measures between 0 and 90 degrees. It is less than a right angle.
2. Right angle: A right angle measures exactly 90 degrees. It forms a square corner and is denoted with a small square (∟) in the corner.
3. Obtuse angle: An obtuse angle measures between 90 and 180 degrees. It is greater than a right angle.
4. Straight angle: A straight angle measures exactly 180 degrees. It forms a straight line.
5. Reflex angle: A reflex angle measures between 180 and 360 degrees. It is greater than a straight angle.
Angles can be classified based on their relationship to each other:
1. Complementary angles: Two angles are complementary if their sum is equal to 90 degrees. For example, if one angle measures 30 degrees, the other measures 60 degrees.
2. Supplementary angles: Two angles are supplementary if their sum is equal to 180 degrees. For example, if one angle measures 120 degrees, the other measures 60 degrees.
3. Adjacent angles: Two angles are adjacent if they share a common vertex and a common side, but have no interior points in common.
4. Vertical angles: Vertical angles are formed by two intersecting lines and are opposite each other. They have equal measures. For example, in the shape of an X, the angles formed by the intersecting lines are vertical angles.
Angles are an important concept in geometry and are used in various mathematical and real-world applications, such as measuring and calculating distances, determining shapes and orientations, and solving trigonometric problems.
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