What are adjacent angles?

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Answer

Adjacent angles are angles who share a common arm and vertex

Answer

When two angles are joined together and have a common vertex, a common ray and a ray on either sides of the common ray then it is called adjacent angles.

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Two angles are Adjacent when they have a common side and a common vertex

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Understanding Adjacent Angles
Adjacent angles are pairs of angles that share a common vertex and a common side but do not overlap. They are fundamental concepts in geometry and play a vital role in various mathematical applications.
Key Characteristics of Adjacent Angles:
- Common Vertex: Both angles must originate from the same point, known as the vertex.
- Common Side: They share one side, which acts as a boundary for both angles.
- Non-overlapping: Adjacent angles do not overlap in any way; they remain distinct and separate.
Visual Representation:
To visualize adjacent angles, consider two angles formed by two rays that meet at a point. For example, if ray AB and ray AC meet at point A, then angle CAB and angle DAB can be adjacent if they share side AB and have vertex A.
Real-World Examples:
- Corner of a Room: The angles formed where two walls meet at the corner of a room are adjacent angles.
- Clock Hands: The angles formed by the hour and minute hands of a clock at certain times can be adjacent.
Importance in Geometry:
Understanding adjacent angles is crucial for solving geometric problems, especially when dealing with parallel lines and transversals, where the angles formed can have specific relationships, such as complementary or supplementary angles.
In summary, adjacent angles are an essential concept in geometry that helps in understanding the relationships between angles in various shapes and forms.

Answer

The angle which have the same vertex are known as adjacent angles .

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