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What is the difference between supplementary angles and complementary angles and also linear pairs of angles?
Complementary Angle:
Two angles are said to be complementary to each other if the sum of the two angles is 90°. For example,
The above two angles are complement to each other because 65° + 25° = 90°.
Supplementary Angles:
Two angles are supplementary to each other when their sum is 180 degrees. For example,
![](/assets/questions/media/64-5551-1596121028.png)
The above two angles supplement each other because 65° + 115° = 180°.
Linear Pair of angles:
When the two adjacent angles are supplementary, such pairs of angles are known as linear pairs.
In other words, a linear pair is a pair of adjacent angles whose non-common sides are rays pointing in the opposite direction.
![](/assets/questions/media/64-5551-1596121131.png)
In the above figure, ㄥAOB and ㄥBOC are supplementary angles which means,
ㄥAOB +ㄥBOC = 180 degrees
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