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What is the difference between supplementary angles and a linear pair?

Answer 1

Linear pair is a pair of two supplementary angles. But two supplementary angles might or might not form a linear pair, they just have to "supplement" each other, that is their sum should be #180^o#.

There are four linear pairs formed by two intersecting lines. Each pair form supplementary angles because their sum is #180^o#.

There might be two angles that sum up to #180^o#, but that do not form a linear pair. For example, two angles in a parallelogram that share a common side.

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Answer 2

Claire Akin

Supplementary angles are two angles whose measures add up to 180 degrees. A linear pair, on the other hand, consists of two adjacent angles whose non-common sides form a straight line, and the sum of their measures equals 180 degrees. In simpler terms, while supplementary angles can be anywhere in relation to each other, a linear pair specifically refers to two adjacent angles forming a straight line.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.