Are you too tired to chase angles?

Geometry Level 3

Let ABC be an isosceles triangle AB=ACAB=AC with BAC=20\angle BAC = 20^{\circ} . Point DD is on side ACAC such that DBC=60\angle DBC = 60^{\circ} . Point EE is on side ABAB such that ECB=50\angle ECB = 50^{\circ} . Find the measure of EDB\angle EDB in degrees.

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