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If two lines intersect each other, then the vertically opposite angles are ……….
  • a)
    Equal
  • b)
    Supplementary
  • c)
    Unequal
  • d)
    Complementary
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
If two lines intersect each other, then the vertically opposite angles...
If two straight lines intersect each other at any point then the angle which are vetically opposite are equal.

Given two lines AB and CD intersect each other at the point O.
To prove: ∠1 = ∠3 and ∠2 = ∠4
Proof:
From the figure, ∠1 + ∠2 = 180°  [Linear pair]  → (1)
∠2 + ∠3 = 180°  [Linear pair]  → (2)
From (1) and (2), we get
∠1 + ∠2 = ∠2 + ∠3
∴ ∠1 = ∠3
Similarly, we can prove ∠2 = ∠4 also.
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Community Answer
If two lines intersect each other, then the vertically opposite angles...
If two straight lines intersect each other at any point then the angle which are vetically opposite are equal.
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