# geometry – X,Y,D,E collinear in simple incircle configuration with a right triangle

There is a right triangle $$ABC$$ with right angle at $$A$$. Let the incircle touch $$AB$$ and $$AC$$ at $$D$$ and $$E$$, respectively. $$X$$ and $$Y$$ are the arc midpoints of minor arc $$AB$$ and $$AC$$ on $$(ABC)$$. Show that $$X,Y,D,E$$ collinear.

The lemma above is a step in in proving a different result which won’t be provided here. I am sure there will be an easy proof to the above, but I appear to be having difficulty in showing that it is true. Sorry for the lack of information about what I have already tried, but indeed I have not made too much progress; thanks in advance.