Mara is building a set of shelves supported by a diagonal brace, as shown in the diagram. Answer the questions to decide whether all three shelves are parallel.

Part A
If <2 measures 120, what is the measure of <1? Explain how you found the measure of <1

Part B
Think of the top and middle shelves as two lines cut by a transversal. What type of angles are <1 and <5 ?

Part C
Use the relationship between <1 and <5 to decide whether the top and middle shelves are parallel.

Part D
Is the bottom shelf parallel to the top shelf? Explain.

Part E
Is the bottom shelf parallel to the middle shelf? Explain.