Please answer with explanations for proofsSection 19 Question 7Section 28 Questions 4 & 7Section 30 Questions 3 & 4 Complete the proofs below by filling in the missing statements and reasons.19. Given: 21 and 22 form a linear pair, 41 = 23Prove: 22 and 23 are supplementaryStatements1. 21 and 22 form a linear pair2. 41 and 22 are supplementary3. m21+m42 = 180°4. 21 = 235. m21=mZ36. m23 + m2 = 180°7. 22 and 23 are supplementary28. Given: AB = CD; CE = AEProve: ED EBStatements1. AB = CD; CE = AE2. AB= CD; CE = AE3. AE+ EB = AB; CE + ED = CD4. CE+EB= CD5. CE+ED = CE + EB6. ED= EB7. ED = EB30. Given: LJKM and ZMKL form a linear pair;LJKM and ZLKN are supplementaryProve: ZMKL ZLKNStatements1. ZJKM and ZMKL form a linear pair2. LJKM and ZMKL are supplementaryLJKM and ZLKN are supplementary 3.LMKL LLKN4.7.Reasons1. Given2. Supplement Theorem3. Definition of Supplementary Angles7.4. Given5. Definition of Congruence6.Substitution Property1.Given2. GivenReasons4.5. Addition Property6.1. Given2. Definition of Congruence3.Segment Addition PostulateSubtraction PropertyReasonsK3CNMŤEDB

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Answered: LAN are supplementary Prove: ZMKL ZLKN…

Math

Geometry

LAN are supplementary Prove: ZMKL ZLKN L

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter1: Line And Angle Relationships

Section1.4: Relationships: Perpendicular Lines

Problem 30E

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Question

Please answer with explanations for proofs

Section 19 Question 7

Section 28 Questions 4 & 7

Section 30 Questions 3 & 4

Complete the proofs below by filling in the missing statements and reasons.
19. Given: 21 and 22 form a linear pair, 41 = 23
Prove: 22 and 23 are supplementary
Statements
1. 21 and 22 form a linear pair
2. 41 and 22 are supplementary
3. m21+m42 = 180°
4. 21 = 23
5. m21=mZ3
6. m23 + m2 = 180°
7. 22 and 23 are supplementary
28. Given: AB = CD; CE = AE
Prove: ED EB
Statements
1. AB = CD; CE = AE
2. AB= CD; CE = AE
3. AE+ EB = AB; CE + ED = CD
4. CE+EB= CD
5. CE+ED = CE + EB
6. ED= EB
7. ED = EB
30. Given: LJKM and ZMKL form a linear pair;
LJKM and ZLKN are supplementary
Prove: ZMKL ZLKN
Statements
1. ZJKM and ZMKL form a linear pair
2. LJKM and ZMKL are supplementary
LJKM and ZLKN are supplementary 3.
LMKL LLKN
4.
7.
Reasons
1. Given
2. Supplement Theorem
3. Definition of Supplementary Angles
7.
4. Given
5. Definition of Congruence
6.
Substitution Property
1.
Given
2. Given
Reasons
4.
5. Addition Property
6.
1. Given
2. Definition of Congruence
3.
Segment Addition Postulate
Subtraction Property
Reasons
K
3
C
N
M
Ť
E
D
B

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