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 In Triangle ABC, points P and Q lie on sides AB and AC, respectively, such that the circumcircle of Triangle APQ is tangent to side BC at D. Let EE lie on side BCBC such that BD ≅ EC. Line DP intersects the circumcircle of Triangle CDQ again at X, and line DQ intersects the circumcircle of Triangle BDP again at Y. Prove that D,E,X and Y are concyclic.

 

It would be nice if someone could post diagram and solution. 

 Jun 19, 2021
 #1
avatar+114026 
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Why don't YOU post what YOU have tried? 

You can take a photo of your diagram and upload it.

 Jun 19, 2021
 #2
avatar+505 
+1

Post the diagram along with the question..

 Jun 19, 2021
 #3
avatar+114026 
+1

If you have problems doing those things then talk to us.

We usually respond really well when people interact with us.

 

We just don't like to feel that we are doing people's homework and they are taking our answers and often not even trying to understand them.

 Jun 19, 2021

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