adjacent angles
Angles that have a common side and a common vertex (corner point).
Adjacent angles are two angles that share a common vertex and a common side between them, but do not overlap. In other words, they are two angles that are right next to each other and share a side. The measure of the common side is on the line that contains both angles. In addition, the sum of the measures of adjacent angles is equal to the measure of the angle formed by their non-shared sides, which is a straight angle (180 degrees).
A good example of adjacent angles can be found in the shape of a square. Each corner of the square forms four angles, and adjacent angles are formed by each pair of adjacent sides of the square. Other examples of adjacent angles can be found in triangles and other polygons.
It is important to note that adjacent angles are different than vertical angles, which are a pair of non-adjacent angles formed by two intersecting lines. Understanding and identifying adjacent angles is important in geometry and trigonometry, as they are used in a variety of mathematical applications.
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