Two angles are supplementary angles when the sum of their measures is 180∘.
In the diagram, ∠B and ∠E are supplementary because the sum of their measures equals 180∘.
m∠B+m∠E=180∘
When using radians as the unit of measure, two angles are supplementary when the sum of their measures is π, or about 3.14, radians.
m∠B+m∠E=π
If two angles are supplementary, either both are right angles or one is acute and the other obtuse. When two supplementary angles are adjacent, they are called a linear pair or straight angle pair. Notice that a linear pair forms a straight angle.
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