Types of Pair of Angles
Based on the sum of pairs, two angles pairs can be classified as
- Adjacent Angles
- Linear Pair
- Vertically Opposite Angles
- Complementary Angles
- Supplementary Angles
Adjacent Angles
Two angles are called adjacent angles if they share only one common arm. In other words, adjacent angles are those two angles that have a common vertex and a common side but no common interior points. The sum of adjacent angles is equal to the measure of the larger angle formed by the two adjacent angles.
Adjacent Angles Diagram
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Linear Pair
A linear pair refers to a pair of adjacent angles whose non-common sides are opposite rays. In other words, two angles are said to form a linear pair if their sum is equal to 180°. For example, angles 70° and 110° form a linear pair because they are adjacent angles (share a common vertex and side) and their non-common sides form a straight line.
Linear Pair of angles
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Vertically Opposite Angles
Vertically opposite angles are a pair of angles formed when two lines intersect. These angles have the same measure, and their opposite rays form a straight line. Vertically opposite angles are always congruent, and the measure of one angle can be used to find the measure of the other angle.
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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