Understanding Adjacent Supplementary Angles | Definition, Example, and How to Calculate

Adjacent Supplementary Angles

Adjacent supplementary angles are two angles that share a common vertex and a common side, and their measures add up to 180 degrees

Adjacent supplementary angles are two angles that share a common vertex and a common side, and their measures add up to 180 degrees. In simpler terms, when two angles are adjacent and their sum is 180 degrees, they are called adjacent supplementary angles.

To understand this concept better, let’s consider an example:

Imagine you have two angles, angle A and angle B. Angle A and angle B are adjacent because they share a common vertex (endpoint) and a common side (the segment joining their endpoints). If the measure of angle A is 60 degrees, and angle B is adjacent to angle A and their sum is 180 degrees, we can determine the measure of angle B.

Since the sum of angle A and angle B is 180 degrees (angle A + angle B = 180), and the measure of angle A is 60 degrees, we can substitute this value into the equation:
60 degrees + angle B = 180 degrees

To solve for angle B, we subtract 60 degrees from both sides of the equation:
angle B = 180 degrees – 60 degrees
angle B = 120 degrees

Therefore, in this example, angle B measures 120 degrees, and it is adjacent to angle A and supplementary to it.

In summary, adjacent supplementary angles are two angles that share a common vertex and side, with their measures adding up to 180 degrees. By using this knowledge, we can find the measure of an angle when given the value of its adjacent supplementary angle.

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