Rhombus in a circle, find angles

[rmehta]

Hello Friends,
Kindly help to solve:
O B C and D are the vertices of a rhombus & A B C and D lie on the circle with centre O. Find angles - BOC, OBC, BAC, BDC

 

[pka]

Kindly help to solve: O B C and D are the vertices of a rhombus & A B C and D lie on the circle with centre O. Find angles - BOC, OBC, BAC, BDC

Can you discuss why \(\displaystyle \Delta OBC\) is equilateral?

 

[rmehta]

Thanks a lot for reply. Actually it was my first post and there was small mistake in writing the problem too.
But fortunately I got the solution myself after banging the head again and again

I will post some other problem if need be. Thanks again