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Q.

Which of the following pairs of angles are vertical angles? (There may be more than one answer)

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a

∠1 and ∠2

b

∠1 and ∠4

c

∠2 and ∠5

d

∠5 and ∠7

answer is D.

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Detailed Solution

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When two lines intersect, four angles are formed. There are two pairs of nonadjacent angles. These pairs are called vertical angles.

So, the opposite angle is the same.

∠2 = ∠4 , ∠5 = ∠7, ∠1 = ∠3 , ∠8 = ∠6

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Which of the following pairs of angles are vertical angles? (There may be more than one answer)