If you expect to get help I suggest you state your question clearly, ideally as it is originally written in wherever you got it from. Your question, despite your attempted clarification, is incomprehensible.
looking at this diagram i want to can we tell whether x is greater or y is greater or both r equal.
since both the angels are vertically opposite they r equal?
I agree with MrF. I looked at the diagram when you first posted it.
It makes no sense unless you explain what you mean by displaced.
Moreover, the measure of vertical angles is always the same. That tells us nothing.