The diagrams shows four sets of corresponding angles.
They pairs of corresponding angles are colour coded.
The orange angles represents one pair of correponding angles.
The pink angles represents another pair of correponding angles.

On diagram 1, drag the two lines 
(not the transversal) to make all
 the corresponding angles equal.
What do you notice?

DIAGRAM 1

DIAGRAM 2

On diagram 2, the lines are parallel.
What do you notice about corresponding
angles on parallel lines?

A = (-7.5724714060865255, -4.186724603976654)
B = (5.3215539189323975, 1.729669732400333)
f = Segment(A, B)
C = (-5.131627105877182, -6.654099820492617)
D = (6.674630650570186, -4.054070022443538)
g = Segment(C, D)
E = (-2.6642518893612155, 0.7214949127486491)
F = (4.950121090639671, -9.572500614221179)
h = Segment(E, F)
G = Intersect(f, h)
H = Intersect(g, h)
α = Angle(A, G, H)
β = Angle(D, H, G)
γ = Angle(H, G, B)
δ = Angle(G, H, C)
ε = Angle(B, G, E)
ζ = Angle(E, G, A)
η = Angle(C, H, F)
θ = Angle(F, H, D)
I = (15.16452386868964, -4.107131855056784)
J = (29.8095896699457, -5.3275540051614545)
K = (15.88085860896847, -6.362259741119761)
i = Segment(I, J)
j = Line(K, i)
L = Point(j)
k = Segment(K, L)
M = (26.758534294684022, -0.47239632104939766)
N = (21.638067447505726, -8.13983113366352)
l = Segment(M, N)
O = Intersect(l, i)
P = Intersect(l, k)
ι = Angle(M, O, I)
κ = Angle(J, O, M)
λ = Angle(I, O, P)
μ = Angle(P, O, J)
ν = Angle(O, P, K)
ξ = Angle(K, P, N)
ο = Angle(N, P, L)
ρ = Angle(L, P, O)