Question

Please help me with this one! Its due today. Thank you ^^

Answer 1

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°