TITLE: Quadrilateral with given angles
QUESTION [13 upvotes]: We are looking for angles x and y.
I have found the values of the following angles:
BEA = 74,
BDA = 64,
ACD = 68,
ECD = 112,
plus the relationship $x+y = 68$.
All other angles equations, from triangles or the sum of angles in the quadrilateral (360) end up in the same equation!
I have found through Geogebra that $x=18$ and $y=50$ but I can't figure out a second relationship to determine them geometrically!
Does anyone have any ideas?
Thank you!

REPLY [2 votes]: my geometric solution:
http://www.davdata.nl/math/geopuzzle28.html
arc calculation
arc calculation(2)