I want to calculate the $∠FEB$ in the figure below, but I can't solve this question with GeometricScene
function.
What can I do to find the answers to these questions in a general way?
GeometricScene[{"A", "B" -> {-1, 0}, "C" -> {1, 0}, "E",
"F"}, {Triangle[{"A", "B", "C"}],
PlanarAngle[{"B", "A", "C"}] == 20 °,
PlanarAngle[{"A", "B", "C"}] == 80 °,
PlanarAngle[{"A", "C", "B"}] == 80 °, Line[{"A", "F", "B"}],
Line[{"A", "E", "C"}], Triangle[{"E", "B", "F"}],
PlanarAngle[{"E", "B", "F"}] == 20 °,
PlanarAngle[{"E", "C", "F"}] == 30 °}]
RandomInstance[%]
FindGeometricConjectures[%,
PlanarAngle[{__}] == _?NumericQ]["Conclusions"]
After this processing, we can get the figure:
But how to get the degree of $∠FEB$.