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ABCD is a cyclic quadrilateral. The side...

ABCD is a cyclic quadrilateral. The side AB is extended to E in such a way that BE =BC. If `/_ADC = 70^@, /_BAD=95^@,` then `/_DCE` is equal to

A

`140^@`

B

`120^@`

C

`165^@`

D

`110^@`

Text Solution

Verified by Experts

The correct Answer is:
A

`/_DAB = 180^@ - 95^@`
` = 85^@`
`/_CBE = 70^@`
`Delta BCE` में, `BC = BE`
`implies /_BCE = /_BEC`
`therefore /_BCE = (180^@ - 70^@)/2 = 55^@`
`therefore /_BCE =85^@ + 55^@ = 140^@`
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