Name the four pairs of supplementary angles shown in figure.

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∠AOC and ∠AOD, ∠AOC and ∠COB, ∠AOD and ∠DOB, ∠DOB and ∠BOC

∠AOC and ∠DOB, ∠AOC and ∠COB, ∠AOD and ∠AOD, ∠DOB and ∠BOC

∠AOC and ∠BOC, ∠AOC and ∠COB, ∠AOD and ∠AOD, ∠DOB and ∠BOC

None of these

answer is A.

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Detailed Solution

Concept- Once two angles add up to 180 degrees or form a linear pair, they are considered Supplementary. Examine the diagram and identify the four pairs of supplementary angles that form a linear pair or sum of two angles of 180 degrees.
From figure, ∠AOC and ∠AOD form a linear pair in which they meet at a common point at O. So, when we add up these two angles we get 180 degrees i.e., Supplementary angles.
Likewise, we can write other pairs of supplementary angles as:
∠AOC and ∠COB
∠AOD and ∠DOB
∠DOB and ∠BOC
So, ∠AOC and ∠AOD, ∠AOC and ∠COB, ∠AOD and ∠DOB, ∠DOB and ∠BOC.
Hence, the correct answer is option 1).

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