φ/2

A = (-2.762944213885614, -4.042167850088443)
B = (11.374371597600824, -0.0696132236766264)
f = Segment(A, B)
C = (2.2468309416154493, 5.303189117005674)
g = Segment(A, C)
c = Circle(A, 5)
D = Intersect(c, g)
E = Intersect(c, f)
φ = Angle(E, A, D)
d = Circle(E, 3)
e = Circle(D, 3)
F, G = Intersect(e, d)
h = Ray(A, F)
α = Angle(E, A, G)
β = Angle(G, A, D)