Linear pair: A linear pair is a pair of adjacent angles whose non-common sides are opposite rays.
A linear pair is a pair of adjacent angles whose non-common sides are opposite rays.
The opposite rays (which are the non-common sides of ∠ 1 and ∠ 2) form a line. Thus, ∠1 + ∠2 amounts to 180°.
The angles in a linear pair are supplementary.
A pair of supplementary angles form a linear pair when placed adjacent to each other.
Example, 40° + 140° = 180°
- If the non-common arms BA and BC form a line then ∠ ABD and ∠ DBC are called linear pairs of angles.
Some more Examples,
In the given figure, Identify three linear pairs.
Linear pairs are (∠AOE, ∠EOB), (∠AOC, ∠COB), (∠COB, ∠BOD).
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In the adjoining figure, name the following pairs of angles.
1) Obtuse vertically opposite angles
2) Adjacent complementary angles
3) Equal supplementary angles
4) Unequal supplementary angles
5) Adjacent angles that do not form a linear pair