48-63-69 TRIANGLE : Să trăiești NAȘULE !! // Long live Godmother !!

           I used to follow this geometry blog. 

           I actually contributed to the publication of an problem (#963).

           The title is and is not a joke: I named my blog "ogeometrie" in the hope that those who will access "gogeometry" will also find me.

The figure above is a triangle with angles $\measuredangle {A}=48^{\circ},\;\measuredangle{B}=63^{\circ},\;\measuredangle{C}=69^{\circ}.$

          This triangle is the subject of Problem #1561. Today (2024-06-24) two solutions are already published. GregMarch 3, 2024 at 3:27 AM  and  Sumith PeirisMarch 5, 2024 at 11:48 AM. I also tried the solution, but no matter how much "angle chasing" I did, it was not enough. It is proven from the already published solutions that we must also appeal to a circumscribed circle.