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Related Angles - Concept of Linear Pair

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definition

Linear pair: A linear pair is a pair of adjacent angles whose non-common sides are opposite rays.

notes

Linear Pair:

  • 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,

Example

In the given figure, Identify three linear pairs.

Linear pairs are (∠AOE, ∠EOB), (∠AOC, ∠COB), (∠COB, ∠BOD).

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