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

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)

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wifilethbridge wifilethbridge · Answer 2 · 2019-02-04T05:36:22+01:00

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

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

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Otras preguntas

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