Question

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Answer 1

Answer:

1. complementary angle of angle 72°=18°

supplementary angle of angle 72°=108°

2.the value of both the x will be 60°

the value of y will be 60°

3.the value of x will be 70°

the value of y will be 110°

4.A and B will be 30°

E,F,D,C will be 150°

5.A isn't parallel but B is parallel (i am not sure about this)

hope this helps you!!!

Answer 2

Answer:

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Step-by-step explanation:

1) Complement of 72 is 90-72= 18°

2) y + 120 = 180    (angle sum property)

y = 180 - 120

y = 60

x + x + y = 180      (angle sum property)

x ^2 + 60 = 180

x^2 = 180 - 60

x^2 = 20

x = 10

3) 110 = x         (alternate interior angle)

110 + y = 180

y = 180 - 110

y = 70

4)

a)

30 = a (vertically opposite angle )

a = d (co - interior angle)

d = c (vertically opposite angle)

30 = b (corresponding angle)

b = f (co - interior angle)

f = e (vertically opposite angle)

5)

According to this model, the resultant value of x is not equal to its corresponding angle.

Now, it’s a matter of finding is parallel to or not

∠ + 75° = 180° (Linear pair)

∠ = 180° − 75°

∠ = 105°

For l and m to be a parallel measure of their corresponding angles should be equal but here the measure of ∠ is 105° and its corresponding angle is 75°.

Therefore, the lines l and m are not parallel.