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32. Complete the proof
Givent {m, cut by transversal, m2 - 70
Prove: m20 - 110
Statements
Reasons
1.2 || m, cut by transversal tm_1701. Given
2.21 and 27 are supplementary angles. 2. Same-Side Exteriors Theorem
3. m2 + m27 - 180
3.
4. 70° + m2 -180"
4. Substitution
5. m. 7110
5. Subtraction Property of Equality
6. 27 and 26 are vertical angles.
6. Def. vert. Zs
7
7. Vert. Zs Theorem
8. Def.rs
8. m26 - m47
9. m26110
9.
a. Corresponding Angles Postulate
b. Substitution
C. m.Zm27
d. 26 27
e. 2327
F. Alternate Exterior Angles Theorem
9. Definition of supplementary angles
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