Examine the proof that follows. What is statement 6?Given: EBD LECB andm ZECB = 45°Prove: LABE ZDCEStatementReason1.1. Given2. AD is a straight line.2.3. LABE and zEBC are a linear 3. Definition of a linear pairpair.ZDCE and ECB are a linearpair.4.4. Linear pairs aresupplementary.5. m ZABE +m ¿EBC = m5. SubstitutionZDCE + m zECB6.6. Substitution7. m LABE =m ¿DCE7.8. m LABE =m ¿DCE8.O Two points make a straight line. 8. m ZABE m ZDCE8.O Two points make a straight line.O m ZABE+45° = m DCE+ 45°O SubstitutionO ZEBD LECB, m ZECB = 45°20888000000F4F5F1F2F3#324

Given that: ∠EBD≅∠ECB and ∠ECB=45°

Answered: Examine the proof that follows. What is…

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Geometry

Examine the proof that follows. What is statement 67 Given: EBD LECB andm ¿ECB = 45° Prove: LABE LDCE

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

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

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

Chapter2: Parallel Lines

Section2.1: The Parallel Postulate And Special Angles

Problem 38E: Given: A line m and a point T not on m Suppose that you do the following: i Construct a...

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Question

Examine the proof that follows. What is statement 6?
Given: EBD LECB andm ZECB = 45°
Prove: LABE ZDCE
Statement
Reason
1.
1. Given
2. AD is a straight line.
2.
3. LABE and zEBC are a linear 3. Definition of a linear pair
pair.
ZDCE and ECB are a linear
pair.
4.
4. Linear pairs are
supplementary.
5. m ZABE +m ¿EBC = m
5. Substitution
ZDCE + m zECB
6.
6. Substitution
7. m LABE =m ¿DCE
7.
8. m LABE =m ¿DCE
8.
O Two points make a straight line.

8. m ZABE m ZDCE
8.
O Two points make a straight line.
O m ZABE+45° = m DCE+ 45°
O Substitution
O ZEBD LECB, m ZECB = 45°
20
888
000
000
F4
F5
F1
F2
F3
#3
24

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