What is an Adjacent angle?
Adjacent angles are a pair of angles that share a common vertex and a common side but do not overlap. In simpler terms, they are angles that are side by side, touching at a single point, and not overlapping or intersecting.
The shared side is typically a ray, and the shared vertex is the endpoint of that ray. When two angles are adjacent and they form a straight line, also known as a straight angle.
Adjacent Angle Definition
The angles having a common vertex and a common side are known as adjacent angles. They are directly next to each other and do not overlap.
Examples of Adjacent Angles
Some of the Examples of Adjacent angles are mentioned below:
- Let’s consider a door with hinges placed at its edge. The angles formed by the door and the frame at each hinge are called adjacent angles. These adjacent angles have a shared vertex (the hinge) and a shared side (the edge of the door).
- When you open a book and lay it flat, the pages form a straight line. The angles formed by the pages on the left and right sides of the crease are called adjacent angles. These angles share the crease as a common side and vertex.
- When two roads intersect, the angles formed where they meet are called adjacent angles. Each road serves as a shared side for two adjacent angles.
What is Adjacent Angle in Geometry?
Adjacent Angles are the angles that have a common vertex, a common arm, and the rest two arms lie on either side of the common arm. Angles are particularly important in geometry as they help define and understand different geometric figures and their characteristics. Geometry is a branch of mathematics that focuses on shapes, sizes, and angles. A key concept within geometry is adjacent angles. Understanding adjacent angles helps us grasp the geometry of lines, polygons, and other shapes.
In this particular article, we are going to learn about adjacent angles, their definitions, their properties, and some examples and we will also practice some questions on it.
Table of Content
- What is an Adjacent angle?
- Properties of Adjacent Angle
- Adjacent Angles in Parallelogram
- Supplementary Adjacent Angles
- Complementary and Adjacent Angles
- Non-adjacent angles
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