Question

If n // m, which of the following statements are true? Select all that apply.

B
2.
3
200
А
60°
A m2 2 = 60°
m
B. m23 = 100
Cm2 2 + m 24 = 80°
D. m2 2 + m23 = 80°

Answer 1

A is answer

Explanation:

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Answer 2

B and C

Explanation:

Since m and n are parallel, we can call the two lines extending from the point B transversals.

`m\angle{1} = 60^\circ` because they are vertical angles

`m\angle{2} = 20^\circ` from the corresponding angles theorem.

`m\angle{4} = 60^\circ` from the corresponding angles theorem.

`m\angle{3} = 100^\circ` because angle 2 and 4 sum to 80, and
`m\angle{2} + m\angle{3} + m\angle{4} = 180^\circ` because it is a straight angle.

From this, we can see which ones are true.

A is false because angle 2 is 20 degrees.

B is true because angle 3 is 100 degrees.

C is true because angle 2 + angle 4 = 20 + 60 = 80 degrees.

D is false because angle 2 + angle 3 = 20 + 100 = 120 degrees.

Therefore, only B and C are true.