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Name _____________________________________ Class _____________ Date ____________ Practice 3-2 Proving Lines Parallel 1. Developing Proof Complete the paragraph proof for the figure shown. Given: and and are supplementary. are supplementary. Prove: Proof Because and are supplementary, and are a. __?__ angles. By the Same-Side Interior Angles Theorem, b. __?__ c. __?__. Because and are supplementary, and are d. __?__ angles. By the e. __?__ Theorem, . Because are parallel to f. __?__, and both by Theorem g. __?__. Which lines or segments are parallel? Justify your answer with a theorem or postulate. 2. 3. 4. 5. 6. 7. Algebra Find the value of x for which . 8. 9. 10. 11. 12. 13.