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Question

# In the figure given below, ∠AOC=67∘, ∠BOC=113∘ and ∠AOB=123∘. Which of the given options is correct?

A

AOC and AOB are supplementary angles.

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B

AOC and BOC are complementary angles.

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C

AOC and BOC are supplementary angles.

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D

BOC and AOB are complementary angles.

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Solution

## The correct option is C AOC and BOC are supplementary angles. Two angles whose sum is 180∘ are called supplementary angles. So in the given figure the sum of the ∠AOC and ∠BOC = 67∘ + 113∘ = 180∘​. Hence, ∠AOC and ∠BOC are supplementary.

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