Give a description of how each of these angle relationships works. a) Angle?

An angle is formed when two rays share a common endpoint, called the vertex. The size of an angle is determined by the amount of rotation between the two rays, measured in degrees or radians. Angles can be classified based on their size, such as acute (less than 90 degrees), right (exactly 90 degrees), obtuse (greater than 90 degrees but less than 180 degrees), and straight (exactly 180 degrees). Angle relationships refer to the ways in which angles interact with each other, such as being complementary (adding up to 90 degrees), supplementary (adding up to 180 degrees), or forming a linear pair (adding up to 180 degrees and sharing a common side). Understanding angle relationships is important in geometry and trigonometry for solving problems involving angles and shapes.

- Adjacent angles are two angles that share a common vertex and a common side.
- Supplementary angles are two angles whose sum is 180 degrees.
- Complementary angles are two angles whose sum is 90 degrees.
- Vertical angles are two angles that are opposite each other and share a common vertex. They are always congruent.

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