Adjacent angles
Adjacent angles are a pair of angles that share a common vertex and a common side
Adjacent angles are a pair of angles that share a common vertex and a common side. The side on which the angles share is called the common side, and the point where the sides intersect is called the common vertex.
When two adjacent angles are formed by two intersecting lines, such as when two lines cross each other, the adjacent angles are also referred to as linear pair angles. Linear pair angles are always supplementary, meaning that their angle measures add up to 180 degrees.
For example, consider two intersecting lines, line AB and line CD. If angle 1 and angle 2 are adjacent angles formed by these lines, then angle 1 and angle 2 share the common side AB and the common vertex A. Additionally, angle 1 and angle 2 form a linear pair, so their angle measures will add up to 180 degrees.
Remember that adjacent angles do not have to be a linear pair. They can be adjacent angles in any given shape or situation, as long as they share a common vertex and a common side.
When working with adjacent angles in problem-solving or proofs, it is important to recognize their relationship and apply the relevant properties and theorems. Understanding adjacent angles can assist in solving equations, finding missing angles, and proving geometric statements.
Overall, adjacent angles are angles that are next to each other, sharing a common vertex and a common side. They play a crucial role in geometry and understanding their properties is essential for various mathematical applications.
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