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Q.

State true or false:

In the adjoining figure, ∠BOD and ∠DOA are supplementary.

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a

True

b

False

answer is A.

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Detailed Solution

Given figure is:
Question Image

Question Image

We have to check whether ∠BOD and ∠DOA are supplementary or not.
We know that the supplementary angles are the angles whose sum measures 180°.
Now, we can see that ∠BOD is forming

∠ 4

and ∠DOA is forming

∠ 5

.
Since, both the angles lie on the same line i.e., arm AB, they form a linear pair which means the sum of angles lying on the same line would be 180°.
So, their sum would also be 180°.
Therefore, ∠BOD and ∠DOA are supplementary.
Thus, the statement is true and hence option 1 is correct.

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