Question: complete the proof, given: lines l and m cut by transversal ,2 is supplementary to 3, prove l || m (separate fine statements from the

complete the proof, given: lines l and m cut by transversal ,2 is supplementary to 3, prove l || m (separate fine statements from the reasons

Statements Reasons 1. lines and 7 cut by transversal, t; 1. Given 22 is supplementary to _8 2. m/2 + m/8 = 180' 3. 26 and 28 are a linear pair of angles 3. Def. linear pair of angles 4. Linear Pair Theorem 5. m26 + m28 5. Def. supplementary angles 6. m/2 + m28 - m26 + m28 7. 7. Subtraction Prop. of Equality 8. 22 ~ 26 9. 4 | m 9. Converse of the Corresponding Angles Postulate a. 180 b. Def. congruent angles c. 90% d. Def. supplementary angles e. Substitution f. 26 and 28 are supplementary g. m/8 - m25 h. m/2 - m26

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