Complementary and Supplementary Angles
In addition to the types mentioned earlier, there are two more kinds of angles: complementary angles and supplementary angles.
Complementary Angles
If the sum of two angles is equal to 90°, they are termed complementary angles. Two angles are complementary if they sum up to 90°. For example, 40° and 50° are complementary angles as 40° + 50° = 90°. Here, one angle complements the other angle.
Supplementary Angles
If the sum of two angles is equal to 180°, they are termed supplementary angles. Two angles are supplementary if they sum up to 90°. For example, 140° and 40° are supplementary angles as 140° + 40° = 180°. Here, one angle supplements the other angle.
Parts of an Angle
The two main parts related to an angle are – the arms and the vertex.
Parts of an Angle
Arms of the Angle: The two rays which join at a common point to form the angle are called the arms of the angle. Observe the figure above which shows that OA and OB are the arms of the angle AOB.
Vertex of the Angle: Vertex is a common endpoint that is shared by the two rays. Observe the figure in which the vertex O is marked as the joining point of the two arms.
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Types of Angles
Types of Angles: An angle is a geometric figure formed by two rays meeting at a common endpoint. It is measured in degrees or radians. It deals with the relationship of points, lines, angles, and shapes in space. Understanding different types of angles is crucial for solving theoretical problems in geometry.
As we know an angle is a geometrical shape formed by joining two rays at their endpoints and is generally measured in degrees. There are different types of angles in geometry which are mentioned in the article below. We have mentioned various types of angles with diagrams, definitions, and examples below.
Table of Content
- What are Angles?
- How many Types of Angles are there?
- Six Types of Angles
- Acute Angle
- Right Angle
- Obtuse Angle
- Straight Angle
- Reflex Angle
- Complete Angle
- Types of Angles based on Rotation
- Positive Angles
- Negative Angles
- Types of Pair of Angles
- Adjacent Angles
- Linear Pair
- Vertically Opposite Angles
- Complementary and Supplementary Angles
- Complementary Angles
- Supplementary Angles
- Parts of an Angle
- Solved Examples on Types of Angles
- Practice Problems on Types of Angles
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