Understanding Adjacent Supplementary Angles: Definition and Example

Adjacent Supplementary Angles

These are two angles that add up to 180° that share a common vertex.

Adjacent angles are two angles that share a common vertex and a common side but do not overlap. Supplementary angles are two angles whose measures add up to 180 degrees. Therefore, adjacent supplementary angles are two angles that share a common vertex and a common side and their measures add up to 180 degrees.

An example of adjacent supplementary angles is angle AOB and angle BOC in the figure below:

“`
A
|
|
O——-B
|
|
C
“`

In the above figure, angle AOB and angle BOC are adjacent because they share a common vertex (point O) and a common side (OB). These angles are also supplementary because their measures add up to 180 degrees. It can be seen that angle AOB measures 100 degrees and angle BOC measures 80 degrees, and their sum is 180 degrees.

It is important to note that not all adjacent angles are supplementary. For example, if angle AOC in the above figure measures 60 degrees, then angle AOB and angle BOC would not be supplementary. They would still be adjacent since they share a common vertex and a common side.

More Answers: