2. Given: AB intersects CD at O so that Ll is a right(Use the figure following Exercise 1.)Prove: 22 and L3 are complementaryPROOFStatementsReasons1. AB intersects CD at O2. LAOB is a straight 2.so MLAOB = 1801. ?2. ?3. m/1+m/COB3. ?= MLAOB4. m21+MLCOB= 1804. ?5. ?5. Zl is a right angle6. mz1= 906. ?7. ?8. ?9. ?10. ?7. 90 + M2COB= 1808. M2COB = 909. m/2+ m/3=M2COB10. m/2+ m23=9011. 22 and 23 areI1. ?complementary

Answered: Image /qna-images/answer/16202988-ea84-4ff7-9561-6b5f8d840e7d.jpg

2. Given: AB intersects CD at O so that Ll is a right 2 (Use the figure following Exercise 1.) Prove: L2 and 23 are complementary PROOF Statements Reasons 1. AB intersects CD at O 1. ? 2. LAOB is a straight 2. 2. ? so MLAOB = 180 3. m21+M2COB 3. ? = MLAOB 4. m21+ MLCOB= 180 5. Zl is a right angle 6. mz1= 90 7. 90 + M2COB = 180 4. ? 5. ? 6. ? 7. ? 8. M2COB = 90 8. ? 9. m/2+ m/3=MLCOB 10. m/2+ m23= 90 11. 42 and L3 are 9. ? 10. ? П. ? complementary

2. Given: AB intersects CD at O so that Ll is a right 2 (Use the figure following Exercise 1.) Prove: L2 and 23 are complementary PROOF Statements Reasons 1. AB intersects CD at O 1. ? 2. LAOB is a straight 2. 2. ? so MLAOB = 180 3. m21+M2COB 3. ? = MLAOB 4. m21+ MLCOB= 180 5. Zl is a right angle 6. mz1= 90 7. 90 + M2COB = 180 4. ? 5. ? 6. ? 7. ? 8. M2COB = 90 8. ? 9. m/2+ m/3=MLCOB 10. m/2+ m23= 90 11. 42 and L3 are 9. ? 10. ? П. ? complementary

Elementary Geometry for College Students

6th Edition

ISBN:9781285195698

Author:Daniel C. Alexander, Geralyn M. Koeberlein

Publisher:Daniel C. Alexander, Geralyn M. Koeberlein

Chapter10: Analytic Geometry

Section10.4: Analytic Proofs

Problem 30E: Complete an analytic proof of the following theorem: In a triangle that has sides of lengths a,b,...

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