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In the given figure, `O` is the centre of a circle in which `/_AOC =100^(@)`. Side `AB` of quad. `OABC` has been produced to `D`. Then, `/_ CBD = ?`

A

`50^(@)`

B

`40^(@)`

C

`25^(@)`

D

`80^(@)`

Text Solution

Verified by Experts

The correct Answer is:
A
Take a point `E` on the remaining part of circumference of the circle.
Join `AE` and `CE `.
`/_ AEC = (1)/(2 ) /_ AOC = (1)/(2) xx 100^(@) = 50^(@)`
Now, side `AB` of cyclic quad. `ABCE` has been produced to `D`.
So, ext. `/_ CBD = /_ AEC = 50^(@)`
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RS AGGARWAL-CIRCLES -MULTIPLE CHOICE QUESTION(MCQ)
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  15. In the given figure , Ois the centre of a circle and / AOB = 130^(@). ...

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  16. In the given figure, ABCD and ABEF aretwo cyclic quadrilaterals. If / ...

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