AB // ED

A_1 = (10.527787789788139, -3.677303023153772)
B_1 = (25.729360871521855, -3.565197026975795)
a = Line(A_1, B_1)
A = (12.859592510290065, 2.623053962048545)
b = Line(A, a)
B = Point(b)
C' = Rotate(A, 27.0*°, B)
α = Angle(A, B, C')
c = Line(C', B)
C = Point(c)
D' = Rotate(B, 248.0*°, C)
β = Angle(D', C, B)
d = Line(C, D')
D = Intersect(a, d)
e = Segment(B, C)
f = Segment(C, D)
G = (17.724992744414276, -4.551729793341995)
g = Circle(D, G)
H = Intersect(g, a, 1.0)
X = Angle(C, D, H)
E_1 = (19.204791893963574, -4.798362984933544)
E = Point(a)