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Revision difference : supplementary angles
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Two angles are called {\em supplementary angles}\, of each other, if their sum is equal to the straight angle $\pi$, i.e. $180^\circ$. Two angles are called {\em supplementary angles}\, of each other, if their sum 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 four convex angles; then any of these angles has on its both sides its supplementary angle. However, an angle and its supplementary angle do not need to have a common side --- see e.g. \PMlinkname{this entry}{OpposingAnglesInACyclicQuadrilateralAreSupplementary}. For example, when two lines intersect each other, they divide the plane into four disjoint domains corresponding four convex angles; then any of these angles has on its both sides its supplementary angle. However, a pair of supplementary angles do not need to have a common side --- see e.g. \PMlinkname{this entry}{OpposingAnglesInACyclicQuadrilateralAreSupplementary}.