In the figure, write down each pair of vertically opposite angles.

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∠1 and ∠4, ∠2 and ∠3, ∠5 and ∠8, ∠6 and ∠7

∠2 and ∠4, ∠1 and ∠3, ∠7 and ∠8, ∠5 and ∠6

∠3 and ∠4, ∠1 and ∠2, ∠7 and ∠8, ∠5 and ∠6

None of these

answer is A.

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Detailed Solution

Concept-Vertical angles are really the angles formed when two lines intersect.
A pair of vertically opposite angles would be a pair of nonadjacent angles formed by the intersection of two straight lines.
Here, we have 4 pair of vertically opposite angles:
∠1 and ∠4
∠2 and ∠3
∠5 and ∠8
∠6 and ∠7
Hence, the correct answer is option 1) ∠1 and ∠4, ∠2 and ∠3, ∠5 and ∠8, ∠6 and ∠7.

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