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A. If I || m and both are cut by n, then m<3 + m²5 = 180° and m²4+ m²6 = 180° Proof: 2 3 4 Given: I II m Prove: 24 and 26 are supplementary statement 1. 2.42 44 3. 4. mz2 = mz6 5. 6. 24 and 26 are supplementary 5 6 7 8 reason 1. Given 2. 3. Corresponding Angles Postulate 4. 5. Substitution 6.

A. If I || m and both are cut by n, then m<3 + m²5 = 180° and m²4+ m²6 = 180° Proof: 2 3 4 Given: I II m Prove: 24 and 26 are supplementary statement 1. 2.42 44 3. 4. mz2 = mz6 5. 6. 24 and 26 are supplementary 5 6 7 8 reason 1. Given 2. 3. Corresponding Angles Postulate 4. 5. Substitution 6.

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter56: Arcs And Angles Of Circles, Tangent Circles
Section: Chapter Questions
Problem 3A
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Prove properties of parallel lines cut by transversal.

A. If I II m and both are cut by n, then m<3 + m25 = 180° and m24+ m26 = 180° Proof: 2 3 4 Given: 1 || m Prove: 24 and 26 are supplementary statement 1. 2.42 44 3. 4. mz2 = mz6 5. 6. 24 and 26 are supplementary 5 6 78 reason 1. Given 2. 3. Corresponding Angles Postulate 4. 5. Substitution 6.
Transcribed Image Text:A. If I II m and both are cut by n, then m<3 + m25 = 180° and m24+ m26 = 180° Proof: 2 3 4 Given: 1 || m Prove: 24 and 26 are supplementary statement 1. 2.42 44 3. 4. mz2 = mz6 5. 6. 24 and 26 are supplementary 5 6 78 reason 1. Given 2. 3. Corresponding Angles Postulate 4. 5. Substitution 6.
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