Understanding Adjacent Supplementary Angles | Definition and Examples

Adjacent Supplementary Angles

Adjacent Supplementary Angles refer to a pair of angles that are adjacent, meaning they share a common vertex and a common side, and they also add up to 180 degrees, making them supplementary angles

Adjacent Supplementary Angles refer to a pair of angles that are adjacent, meaning they share a common vertex and a common side, and they also add up to 180 degrees, making them supplementary angles.

To understand this concept better, let’s consider an example: we have two angles, angle A and angle B. If these angles are adjacent, it means that they have the same vertex and a common side, let’s say side CD.

Now, if angle A and angle B are supplementary, it means that the sum of their measures equals 180 degrees. In other words, Angle A + Angle B = 180 degrees.

So, when we say “Adjacent Supplementary Angles,” it means two angles that share a common vertex and a common side, and their measures add up to 180 degrees. This is often represented as Angle A + Angle B = 180 degrees.

For example, let’s say we have angle ACD and angle BCD. These angles are adjacent because they share vertex C and side CD. If angle ACD measures 120 degrees, then angle BCD must measure 60 degrees because 120 degrees + 60 degrees = 180 degrees.

In summary, adjacent supplementary angles are a pair of angles that share a vertex and a side, and their measures have a sum of 180 degrees.

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