State true or false:

In the adjoining figure, ∠AOC adjacent to ∠AOE.

see full answer

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True

False

answer is B.

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Detailed Solution

Given figure is:
Question Image

We have to check whether ∠AOC adjacent to ∠AOE or not.
We know that the adjacent angles are the angles which lie on the same vertex on the common arm.
Now, we can see that ∠AOC is forming an

∠ 1

and ∠AOE is forming the angle which includes

∠ 1 and ∠ 2

which lies on the same arm but

∠ 1

should not overlap.
Therefore, ∠AOC is not adjacent to ∠AOE.
Thus, the statement is false and the correct statement is that ∠AOC is not adjacent to ∠AOE.
Hence option 2 is correct.

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