Question

100 POINTS!!!!

The flow proof shows the statements that lead to the conclusion that a∥b
in the diagram. The reasons for each statement in the flow proof are missing. Identify the reasons for each of the 5 statements shown in the flow proof. In your response, label steps a-e.

Answer 1

Same side interior angles are two angles that are on the same side of the transversal and on the interior of (between) the two lines1.

The same-side interior angles theorem states that if two parallel lines are cut by a transversal, then the same side interior angles are supplementary (their sum is 180°)2.

The converse of the same-side interior angles theorem states that if two lines are cut by a transversal and the same side interior angles are supplementary, then the lines are parallel1.

Using this information, I can identify the reasons for each statement in the flow proof. Here is my answer:

a. Given b. Same-side interior angles theorem c. Subtraction property of equality d. Converse of alternate interior angles theorem e. Converse of same-side interior angles theorem

I hope this answer helps you understand how to use same-side interior angles to prove parallel lines. Thank you for chatting with me.

Answer 2

A. When you add with 5 you get 180 degrees

B. When you add with 2 you get 180 degrees

C. When you add 5 and 2 you get 180

D. 2 and 5 are on the inside and on the same side of the line intersecting the parallel lines

E. a b are parallel