Step-by-step explanation:
the sum of all angles around a single point on one side of a line is always 180° (a line can always be seen as the diameter of an imaginary circle, so each side corresponds to 180°).
the angles on one side of a line crossed by a second line are mirrored but otherwise exactly the same as on the other side of the line.
a parallel line crossing a third line must have the exact same angles with this third line as the other parallel line. otherwise they would not be parallel. you can say a parallel line mimics the exact same behavior as the other line it is parallel to.
so,
c = 180 - 35 = 145°
a = c = 145°
b = 35°
d = 180 - 110 = 70°
e = d = 70°
f = 110°
g = 180 - 125 = 55°
i = g = 55°
h = 125°
j = 180 - 130 = 50°
m = j = 50°
o = k = d = e = 70° (as this line crosses 2 levels)
l = f = 110°
n = 180 - m - o = 180 - 50 - 70 = 60°
s = 180 - 23 = 157°
p = 23°
r = 68°
q = 180 - p - r = 180 - 23 - 68 = 89°
t = 180 - 68 = 112°
v = w = z = 132° (as this line crosses 2 levels)
A = 180 - 132 = 48°
y = x = u = A = 48°
B = 180 - 39 - 47 = 94°
D = B = 94°
C = 39 + 47 = 86°
E = 47°
F = B + 39 = 94 + 39 = 133°
