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Two angles are explementary angles, also called conjugate angles, when the sum of their measures is 360^(∘).
In the diagram, ∠ B and ∠ E are explementary because the sum of their measures is 360^(∘). m ∠ B + m ∠ E = 360 ^(∘) When using radians as the unit of measure, two angles are explementary angles when the sum of their measures is 2π, or about 6.28, radians. m ∠ B + m ∠ E = 2π If two angles are explementary, either both are straight angles or one is a reflexive angle while the other can be acute, right, or obtuse. Notice that if two explementary angles are adjacent, they form a complete angle.
