α

β

φ

Welcher Rechenausdruck passt zu welchem Winkel?
Ordne zu und begründe deine Entscheidung.

180°-α

180°-β

180°-(α+β)

β+γ

180°-β-γ

α+γ

Terme einblenden

Zuordnung durch Anklicken 
der Terme einblenden

IMP9 geo

A = (-3.9749962434259927, 0.03149375042688119)
B = (-0.3837114951164512, 0.04652004644491273)
h = Line(A, B)
i = Segment(A, B)
α_1 = 40 (slider from 0 to 90, step 1)
B' = Rotate(B, α_1°, A)
α = Angle(B, A, B')
β_1 = 50 (slider from 0 to 90, step 1)
A' = Rotate(A, (-(β_1°)), B)
β = Angle(A', B, A)
f = Ray(A, B')
g = Ray(B, A')
C = Intersect(f, g)
l = Segment(A, C)
m = Segment(C, B)
D = Point(h)
ε = Angle(D, B, C)
γ = Angle(A, C, B)
F = Point(h)
δ = Angle(C, A, F)
E = (-2.9231555221637837, 2.826384809780746)
H = (-0.2635011269721988, 2.7512533296905883)
w_1 = false
w_2 = false
w_3 = false
w_4 = false
w_5 = false
w_6 = false
G = (1.3893914350112722, 0.7227033672563317)
I = (-4.951705484598043, 1.7294652004644442)
J = (-5.838256949661905, 0.647571887166174)
K = (1.0137340345604833, 1.7144389044464126)
u_2 = Vector(H, (x(B), y(B) + 0.4))
u_1 = Vector(E, (x(C) - 0.1, y(C) - 0.2))
u_3 = Vector(K, (x(A) + 0.7, y(A) + 0.2))
u_4 = Vector(G, (x(B) + 0.3, y(B) + 0.2))
u_5 = Vector(J, (x(A) - 0.3, y(A) + 0.2))
u_6 = Vector(I, (x(A) - 0.1, y(A) + 0.4))
w = true