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In the figure shown, which pair of angles must be complementary?


∠AOC∠AOC ​ and ∠COD∠COD


​ ∠COB∠COB ​ and ∠AOC∠AOC


​ ∠AOC∠AOC ​ and ​ ∠DOB∠DOB ​


∠COD∠COD and ∠DOB∠DOB

In the figure shown, which pair of angles must be complementary? AOC AOC and COD COD COB COB and AOC AOC AOC AOC and DOB DOB COD COD and DOB DOB class=

Verified Answer :

Edufirst

Two angles are complementary if and only if they sum up 90°.

In the figure the angle BOC is a right angle = 90°

The the two angles BOD and DOC sum up 90° and are complementary.

Answer: angles BOD and DOC (that is the fourth option)

Answer:

∠COD and ∠DOB are complementary angles

Step-by-step explanation:

To Find: In the figure shown, which pair of angles must be complementary?


1.∠AOC ​ and ∠COD

​ 2.∠COB and ∠AOC


3. ∠AOC ​ and ​ ∠DOB

4.

∠COD and ∠DOB

Complementary angles : Angles whose sum is 90° are called pair of complementary angles

In option 4 ∠COD and ∠DOB

Since referring the figure we can see that

∠COD + ∠DOB =90°

Hence  ∠COD and ∠DOB are complementary angles

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