Question

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

Answer 1

Answer:

B and C

Step-by-step 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.

Answer 2

Answer:

A is answer

Step-by-step explanation:

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