- ZOOM + MATH 026: Lab Assignment #5 - Transversals and Parallel Lines Instructions: You must get these problems correct and show each step of your work in order to receive full credit. I suggest that you work the problems out on scratch paper first before writing out your correct solutions clearly on this page. You are encouraged to work together with your classmates on these problems and/or get help from the Math Lab. 1. Write a proof for Theorem 3.10: If two parallel lines are cut by a transversal, then all pairs of interior angles on the same side of the transversal are supplementary. You may use any of the other previous theorems from Section 3.2 (Theorems 3.2 - 3.9) as reasons in your proof. (20 pts) Hint: Prove that 2 4 and 2 5 in the diagram below are supplementary. You should assume that m and n are parallel (given). Diagram m 3 n 5 Statements Reasons 1. 1. 2. 2. 3. m41 + m/4 = 180 3. 4. 41= 25 4. 5. 5. 6. 6