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What are adjacent angles?

  1. Angles that are opposite of each other

  2. Angles that share a common ray

  3. Angles that are formed by intersecting lines

  4. Angles that have the same measure

The correct answer is: Angles that share a common ray

Adjacent angles are defined as angles that share a common vertex and a common side (or ray) but do not overlap. This means that they are next to each other in a way that they are formed by two rays originating from the same point. In this case, if you visualize two angles sitting next to each other and sharing one side, you can see that they are adjacent. For example, if you have two angles formed by two intersecting lines, and they share one ray and both meet at the intersection point, those two angles are considered adjacent. Understanding this concept is fundamental in geometry, where the relationship between angles is crucial for solving many problems, such as those involving parallel lines and transversals, angle relationships, and geometric proofs.