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I and O are respectively the in-centre and circumcentre of a triangle ABC. The line AI produced intersects the circumcircle of ∆ ABC at the point D.
If ∠ABC = x°, ∠BID = y° and ∠BOD = z°, then z + x = y
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- 3
- 1
- 2
- 4
- 3
Correct Option: A
According to question , we draw a figure of triangle ABC in which I and O are respectively the in-centre and circumcentre
Given that , ∠ABC = x°, ∠BID = y° and ∠BOD = z°
OA = OB = OC
∠BID = ∠ABC
⇒ x = y
∠BOD = 2 ∠BAD
| ∴ | = | = 3 | ||
| y | y |
