In the adjoining figure, name the pair of adjacent complementary angles.

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∠AOB and ∠DOC

∠AOB and ∠AOE

∠EOD and ∠EOB

None of these

answer is B.

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Detailed Solution

Given figure,
Question Image

We have to find the adjacent complementary angles.
So, we know that complementary angles are the angles whose sum is 90° and adjacent angles are the angles which lie on the same vertex.
In the given figure, ∠AOB and ∠AOE are adjacent to each other as they lie on the same vertex i.e., O.
Since, ∠AOB and ∠AOE are equal to 90° which means they are complementary.
Therefore, the required angles are ∠AOB and ∠AOE which are adjacent complementary angles.
Hence, option 2 is correct.

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