$cos36°=\frac{\sqrt5+1}{4}$
$\overline{AB}=2,\overline{BC}=1$
$\overline{AC}=\overline{AD}=\sqrt5$
$\overline{DE}=1,\overline{AF}=4$
$\overline{AE}=\overline{A'E}=(\sqrt5+1)$

$1$

A = (-1.46, 0.28)
P = (7.38, -2.1)
Q = Point(Ray[P + (0.2, 0), P + (1, 0)])
a = Segment(P, Q)
b: y = y(A)
B: A + (2 * a, 0)
C: B + (0, a)
c = Circle(A, C)
D = Intersect(c, b, 2)
E: D + (a, 0)
d = OrthogonalLine(E, b)
e = Circle(A, 4 * a)
F = Intersect(e, d, 2)
A' = Mirror(A, d)
poly1, f, a_1, a' = Polygon(A, A', F)
α = Angle(A', F, A)
g = Segment(C, B)
h = Segment(A, C)
β = Angle(F, A, A')