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In the figure, A,B,E,C and D are the poi...


In the figure, A,B,E,C and D are the points on the circle. If `AB=BE` and `/_ACB =30^(@)` , then find `/_ADE`.

A

`50^(@)`

B

`45^(@)`

C

`60^(@)`

D

`80^(@)`

Text Solution

Verified by Experts

The correct Answer is:
c
`/_ACB =30^(@)` (given )
Let 'O' be the centre of the circle.
`implies /_AOB =60^(@) , /_BOE = /_ AOB ` `( :' AB =BE)`
`:. /_ AOE =60^(@) +60^(@) =120^(@)`
`:. /_ ADE =(120^(@))/(2)=60^(@)`
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