## Angle

### An angle is a geometric figure formed by two rays or two line segments with a common endpoint, called the vertex of the angle

An angle is a geometric figure formed by two rays or two line segments with a common endpoint, called the vertex of the angle. The rays or line segments that form the angle are known as the sides of the angle.

Angles are typically measured in degrees or radians. In a degree measure, a full angle is 360 degrees, while in a radian measure, a full angle is equal to 2π radians.

There are different types of angles based on their measurement:

1. Acute Angle: An acute angle is an angle that measures less than 90 degrees. It is smaller than a right angle.

2. Right Angle: A right angle is an angle that measures exactly 90 degrees. It forms a square corner.

3. Obtuse Angle: An obtuse angle is an angle that measures greater than 90 degrees but less than 180 degrees. It is larger than a right angle.

4. Straight Angle: A straight angle is an angle that measures exactly 180 degrees. It forms a straight line.

5. Reflex Angle: A reflex angle is an angle that measures greater than 180 degrees but less than 360 degrees. It is larger than a straight angle.

Angles can be classified based on their relationship with other angles as well:

1. Adjacent Angles: Adjacent angles are two angles that share a common vertex and a common side but do not overlap. The sum of adjacent angles is always equal to the straight angle measurement of 180 degrees.

2. Complementary Angles: Complementary angles are two angles whose sum is equal to 90 degrees. They can be adjacent or non-adjacent.

3. Supplementary Angles: Supplementary angles are two angles whose sum is equal to 180 degrees. They can be adjacent or non-adjacent.

4. Vertical Angles: Vertical angles are a pair of opposite angles formed by intersecting lines. They have the same measure and are always congruent.

Understanding angles and their properties is crucial in various areas of math, including geometry, trigonometry, and calculus.

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