Understanding Adjacent Angles in Geometry: Identifying, Measuring and Using Them to Solve Angle Problems

adjacent angles

2 angles in a plane with a common side, vertex, but have no common interior points

Adjacent angles are two angles that share a common vertex and a common side but do not overlap. In other words, they are angles that are next to each other. When the non-shared sides of adjacent angles form a straight line, the angles are said to be a linear pair.

For example, in the figure below, the angles ABD and DBC are adjacent angles because they share the point B and the side BD, but do not overlap. These angles also form a linear pair because their non-shared sides, AB and BC, form a straight line.

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A—–B—–C
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D
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Adjacent angles are important in geometry because they help us to identify and measure other angles. For instance, if we know the measures of two adjacent angles, we can add them together to find the measure of the larger angle formed by the two non-shared sides. We can also use adjacent angles to identify parallel lines and to solve problems that involve angles and angles relationships.

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