Definition of a supplementary angle1/4/2023 ![]() Hence, they are supplementary angles but not adjacent. But when added up, that is 130° + 50° = 180°, their sum comes as 180°. Here, ∠ ABC and ∠ PQR are non-adjacent angles as they neither have a common nor a common arm. Put simply, two supplementary angles that are not adjacent are said to be non-adjacent supplementary angles. Hence, these two angles can be called adjacent supplementary angles. These two angles add up to 180 degrees, that is ∠ BOA + ∠ AOC = 180°. Here ∠ BOA and ∠ AOC are adjacent angles as they have a common vertex, O, and a °common arm OA. Two supplementary angles that have a common vertex and a common arm are said to be adjacent supplementary angles. Each of these types of supplementary angles is explained below. Types of Supplementary AnglesĪdjacent and non-adjacent supplementary angles are the two types of supplementary angles. However, linear pairs are always supplementary. So, remember that supplementary angles are not necessarily linear pairs. Supplementary angles do not have to be adjacent, but linear pairs must be adjacent to form a straight line. ![]() One of the most asked questions is whether all supplementary angles form linear pairs? Hence, any two angles can be supplementary angles, if their sum is equivalent to 180 °. But also note that even if two angles are supplementary to each other, they do not have to be next to each other. When two supplementary angles are joined together, they form a straight line and a straight angle.
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