2. Complete the proof below. 4 Given: AC || BD Prove: m21+ mz2+ m23 = 180°. A Statements Reasons 1. AC || BD 2.21 4,23 45 1. G:ven. 2. 3. 3. Definition of Congruent Angles 4. 24 and LABD are a linear pair 4. 5. 24 and LABD are supplementary 5. 6. 6. Definition of Supplementary Angles 7. m22+ m5 = MLABD 7. 8. mL4+ mz2 + mz5 = 180° 8. %3D 9. mz1+ m2+mL3 = 180° 9.
2. Complete the proof below. 4 Given: AC || BD Prove: m21+ mz2+ m23 = 180°. A Statements Reasons 1. AC || BD 2.21 4,23 45 1. G:ven. 2. 3. 3. Definition of Congruent Angles 4. 24 and LABD are a linear pair 4. 5. 24 and LABD are supplementary 5. 6. 6. Definition of Supplementary Angles 7. m22+ m5 = MLABD 7. 8. mL4+ mz2 + mz5 = 180° 8. %3D 9. mz1+ m2+mL3 = 180° 9.
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.4: Analytic Proofs
Problem 34E: Complete an analytic proof of the following theorem: In a triangle that has sides of lengths a,b,...
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