adjacent angles
Adjacent angles are a pair of angles that have a common vertex and a common side between them
Adjacent angles are a pair of angles that have a common vertex and a common side between them. In other words, these angles share a common ray as a side, with one angle on either side of that ray. The common vertex is the point where the rays of the two angles meet.
When two adjacent angles are combined, they form a straight angle, which measures 180 degrees. This means that the sum of the measures of the adjacent angles is always 180 degrees.
For example, consider two angles, ∠ABC and ∠CBD, where the vertex B is shared between them. Here, the ray BC is common to both angles, making them adjacent angles. The measure of ∠ABC plus the measure of ∠CBD will be equal to 180 degrees.
Adjacent angles are commonly seen in geometry and can be used to identify and solve various geometric problems such as finding missing measurements or proving geometric theorems. Their properties and relationships are fundamental in understanding angles and their applications in mathematics.
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