Copy Angle

Select angle by three points and ray by two points

a = Ray(B, A)
b = Ray(B, C)
c = Ray(D, E)
d = Circle(D, E)
e = Circle(B, Segment[D, E])
F = Intersect(e, a)
G = Intersect(e, b)
f = Circle(E, Segment[G, F])
H, I = Intersect(d, f)
g = Ray(D, I)
h = Ray(D, H)