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Question

Which of the following pairs of angles are linear pairs in the figure given below?


A
∠AOB and ∠BOC
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B
∠AOE and ∠DOE
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C
∠DOE and ∠COD
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D
∠AOE and ∠BOC
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Solution

The correct option is C ∠DOE and ∠COD
Two angles are said to be a linear pair of angles if they are adjacent angles and their non-common arm forms a straight line.

From the given figure, it can be observed that ∠DOE and ∠COD are adjacent angles whose non-common arms lie on the line EC.
Hence, ∠DOE and ∠COD is the linear pair of angles.

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