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In the given figure, ABCD is a cyclic qu...

In the given figure, ABCD is a cyclic quadrialteral in which BC`=` CD and `/_ CBD = 35^(@)`. Then, `/_ BAD = ?`

A

`65^(@)`

B

`70^(@)`

C

`110^(@)`

D

`90^(@)`

Text Solution

Verified by Experts

The correct Answer is:
B
`BC = CD implies /_ BDC = /_CBD = 35^(@)`
in `DeltaBCD, /_ BCD+ /_ BDC+ /_ CBD = 180^(@)`
`implies /_ BCD + 35^(@) + 35^(@) = 180^(@) implies /_ BCD = 110^(@)`
In cyclic quad. ABCD, `/_ BAD+ /_ BCD = 180^(@)`
`:. /_ BAD + 110^(@)= 180^(@) implies /_ BAD = 70^(@)`
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RS AGGARWAL-CIRCLES -MULTIPLE CHOICE QUESTION(MCQ)
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  13. In the given figure, sides AB and AD of quad. ABCD are produced to E a...

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  14. In the given figure, , O is the centre of a circle and / AOB = 140^(@)...

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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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  17. In the given figure, ABCD is a cyclic quadrilateral in which DC is pro...

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  18. Two chords AB and CD of a circle intersect each other at a point E out...

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  19. In the given figure , A and B are the centres of two circles having ra...

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