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In the given figure, ABCD and ABEF aretw...

In the given figure, ABCD and ABEF aretwo cyclic quadrilaterals. If `/_ BCD = 110^(@)` then `/_ BEF = ?`

A

`55^(@)`

B

`70^(@)`

C

`90^(@)`

D

`110^(@)`

Text Solution

Verified by Experts

The correct Answer is:
D
Since ABCD is a cyclic quadrilateral ,we have
`/_ BAD + /_ BCD = 180^(@) implies /_ BAD +110^(@)= 180^(@) implies /_ BAD = 70^(@)`
Again , ABEF is a cyclic quadrilatera.
`:. /_ BAD + /_ BEF = 180^(@) implies 70^(@) + /_ BEF = 180^(@) implies /_ BEF = 110^(@)`
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