Are linear pairs always supplementary?
Understand the Problem
The question is asking whether linear pairs, which are formed by two adjacent angles whose non-common sides lie on the same line, always add up to 180 degrees. This means we need to confirm that if two angles form a linear pair, they are supplementary by definition.
Answer
YES
The final answer is YES
Answer for screen readers
The final answer is YES
More Information
Linear pairs are always supplementary because they form a straight angle, summing to 180°. However, not all supplementary angles form a linear pair as they do not necessarily have to share a common arm or vertex.
Tips
A common mistake is to assume that all supplementary angles form a linear pair. They do not necessarily share a common vertex or arm.