Respuesta :
Adding yes or no to the information that is enough to proof lines l and m are parallel
m<2 + m<4 = 180 degrees no
m<1 = m<7 no
m<2 = m<6 yes
m<6 + m<3 = 180 degrees no
m<1 = m<8 yes
What are parallel lines?
This is a term used in geometry to refer to lines that will never intersect. The concept of parallel lines is used to find angles that are related or equal to each other by the following theorems:
- Vertical angles theorem
- Corresponding angles theorem
- Alternate interior angles theorem
- Alternate exterior angles theorem
Using the mentioned theorems we apply to the statements as follows: The first statement is correct but not used to prove parallel lines. The second statement is not correct.
The third statement is correct, it represents transitive property of equality angles, where m<2 equals m<3 by Vertical angles theorem and m<3 is equal to m<6 as by Alternate interior angles theorem.
m<6 + m<3 = 180 degree: the two angles are equal as earlier explained but their sum is not 180 degrees
m<1 = m<8: The equality of these two angles is shown by transitive property of equality angles, and it is enough to prove that line l and m are parallel lines
Read more on angles here: https://brainly.com/question/25716982
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