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

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

Statements Reasons 1. lines { and m cut by transversal, t; 22 is supplementary to _8 1. Given 2. m/2 + m/8 = 180" 3. 26 and 28 are a linear pair of angles 3. Def. linear pair of angles 4. 4. Linear Pair Theorem 5. m26 + m/8 - 5. Def. supplementary angles 6. mz2 + m28 -m/6 + m/8 6. Subtraction Prop. of Equality 8. 42 ~ 26 8. 9. 4 m 9. Converse of the Corresponding Angles Postulate a. 180" b. Def. congruent angles G. 90" d. Def. supplementary angles e. Substitution f. 26 and 28 are supplementary g. m28 - m25

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