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[parent] supplementary angles (Definition)

Two angles are called supplementary angles of each other if the sum of their measures is equal to the straight angle $ \pi$, i.e. $ 180^\circ$.

For example, when two lines intersect each other, they divide the plane into four disjoint domains corresponding to four convex angles; then any of these angles has a supplementary angle on either side of it (see linear pair). However, two angles that are supplementary to each other do not need to have a common side -- see e.g. an entry regarding opposing angles in a cyclic quadrilateral.



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"supplementary angles" is owned by pahio. [ full author list (2) ]
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See Also: supplement, angle, complementary angles, goniometric formulas

Other names:  supplementary

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Cross-references: linear pair, side, convex angles, disjoint, plane, intersect, lines, straight angle, sum, angles
There are 7 references to this entry.

This is version 4 of supplementary angles, born on 2007-10-13, modified 2007-10-20.
Object id is 9995, canonical name is SupplementaryAngles.
Accessed 1098 times total.

Classification:
AMS MSC51F20 (Geometry :: Metric geometry :: Congruence and orthogonality)
 51M04 (Geometry :: Real and complex geometry :: Elementary problems in Euclidean geometries)

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