angle
An angle is a geometric figure formed by two rays that share a common endpoint, called the vertex
An angle is a geometric figure formed by two rays that share a common endpoint, called the vertex. The rays are known as the sides of the angle. Angles are typically measured in degrees or radians.
There are various types of angles based on their measurements:
1. Acute Angle: An angle that measures less than 90 degrees is called an acute angle. For example, an angle measuring 45 degrees is an acute angle.
2. Right Angle: A right angle measures exactly 90 degrees. It forms a square corner, resembling an uppercase “L”.
3. Obtuse Angle: An obtuse angle measures greater than 90 degrees but less than 180 degrees. For example, an angle measuring 120 degrees is an obtuse angle.
4. Straight Angle: A straight angle measures exactly 180 degrees. It forms a straight line, resembling a horizontal line.
5. Reflex Angle: A reflex angle measures greater than 180 degrees but less than 360 degrees.
Angles can be classified further based on their relationships:
1. Adjacent Angles: Adjacent angles share a common vertex and a common side. They do not overlap. When the non-shared sides are on opposite sides of the common side, they are called linear pairs.
2. Complementary Angles: Two angles are complementary if their sum is exactly 90 degrees. For example, angles measuring 30 degrees and 60 degrees are complementary because 30 + 60 = 90 degrees.
3. Supplementary Angles: Two angles are supplementary if their sum is exactly 180 degrees. For example, angles measuring 100 degrees and 80 degrees are supplementary because 100 + 80 = 180 degrees.
4. Vertical Angles: Vertical angles are formed by the intersection of two lines. They are opposite each other and are congruent (have equal measures).
Understanding angles and their properties is essential in various mathematical concepts such as geometry, trigonometry, physics, and engineering.
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