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Viewing Version 3 of 'supplementary angles'
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Title of object: supplementary angles
Canonical Name: SupplementaryAngles
Type: Definition

Created on: 2007-10-13 15:58:12
Modified on: 2007-10-20 10:37:19

Creator: pahio
Modifier: Wkbj79
Author: pahio

Classification: msc:51F20, msc:51M04

Revision comment (for changes between this and next version):

added supplementary as synonym
grammar
linking

Preamble:

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Content:

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 (see linear pair). However, an angle and its supplementary angle do not need to have a common side --- see e.g. \PMlinkname{this entry}{OpposingAnglesInACyclicQuadrilateralAreSupplementary}.