Question

Given m∠12 + m∠15=180°

Which lines are parallel, if any must be parallel, based on the given information?

1. c || d by the converse of the alternate interior angles theorem
2. a || b by the converse of the corresponding angles theorem
3. c || d by the converse of the same-side interior angles theorem
4. Not enough information to make a conclusion.

Answer 1

the answer is choice 3

c is parallel to d by the converse of the same side interior angles theorem

Explanation:

Answer 2

3. c || d by the converse of the same-side interior angles theorem

Explanation:

Angles 12 and 15 are same-side interior angles of lines c and d cut by transversal a.

Answer:

3. c || d by the converse of the same-side interior angles theorem