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Q.

In the adjoining figure, the vertically opposite angle of ∠5 is:

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a

∠ AOE

b

∠ AOC

c

∠ COB

d

None of these

answer is C.

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Detailed Solution

Given figure is:
Question Image

Question Image

We have to check whether the vertically opposite angle of ∠5.
We know that the vertically opposite angles are the angles which are opposite to each other and lie on the intersecting lines and both the angles are equal.
Since,

∠ 5

lie on the intersection of the arms AB and DC and its opposite angle should be on the other side of the two arms.
So, there are two angles which are opposite to

∠ 5

which are

∠ 2 and ∠ 3

.
Therefore, the sum ∠2 and

∠ 3

, i.e.,

∠ COB

would be the vertically opposite angle of ∠5.
Thus, the required angle is

∠ COB

.
Hence, option 3 is correct.

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In the adjoining figure, the vertically opposite angle of ∠5 is: