Question

Please will give brainliest!

Which statement allows Carmen to conclude that line p and line q are parallel?
∠2 ≅ ∠6
∠1≅ ∠4
m∠1 + m∠2 = 180°
m∠5 + m∠7 = 180°

Answer 1

All of the statements except the first are true whether p ║ q or not.

The appropriate choice is ...

... ∠2 ≅ ∠6

_____

The "corresponding angles postulate" tells you that the lines are parallel if the corresponding angles are equal.

Answer 2

Answer:

∠2 ≅ ∠6

Step-by-step explanation:

To determine the parallelism between to lines, we have to demonstrate that their angle of direction are congruent. So, according to that, there are only two possible choices, the congruence ones, but only the first one ∠2 ≅ ∠6 make sense, because ∠2 is the direction of line q, and ∠6 represents the direction of line p.

Therefore, the correct answer is the first one, because demonstrate the congruence between both direction angles.