Exam Given: In Triangle XYZ, mzY = 50°, and X = Z Prove: m&Z= 65° Statement: Reason: 1. Given 1.XYZ is a triangle 2. mzX+mzY+mzZ=180° 2. Postulate 3. m2Y = 50° 3. Given 4. 2X=Z 4. Given 5. m/X=m/Z 5. Congruency 6. mzZ+50° + mzZ= 180° 6.[? ] 7. m/Z+m/Z=130° 8. 2(m/Z) = 130° 9.m&Z= 65° Copyright © 2003-2023 International Academy of Science. All Rights Reserved. 3 $ 7. 8. Algebra 9. Division Property of Equality 54 fo F4 % 5 F5 A 6 KAA F6 & 7 ►II Select the reason that best supports Statement 6 in the given proof. A. Multiplication Property of Equality B. Substitution C. Addition Property of Equality D. Subtraction Property of Equality * 8 F8

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
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What is 6 and 7

Exam
Given: In Triangle XYZ, m_Y = 50°, and <X = <Z
Prove: m&Z= 65°
Statement:
Reason:
1. Given
1.XYZ is a triangle
2. m/X+m_Y + m₂Z = 180° 2. Postulate
3.m_Y = 50°
3. Given
4. 2X = LZ
4. Given
5. m/X=m/Z
5. Congruency
6. mzZ+50° + m₂Z = 180° 6.[? ]
7.m/Z+m<Z = 130°
8.2(m/Z) = 130°
9.m/Z = 65°
Copyright © 2003 - 2023 International Academy of Science. All Rights Reserved.
3
E
F3
C
$
7.
8. Algebra
9. Division Property
of Equality
4
(a)
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F4
V
%
5
F5
G
6
B
F6
Y.
H
&
7
N
Select the reason that best
supports Statement 6 in the
given proof.
A. Multiplication Property of Equality
B. Substitution
C. Addition Property of Equality
D. Subtraction Property of Equality
F7
J
* 00
8
F8
M
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K
F9
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F10
Transcribed Image Text:Exam Given: In Triangle XYZ, m_Y = 50°, and <X = <Z Prove: m&Z= 65° Statement: Reason: 1. Given 1.XYZ is a triangle 2. m/X+m_Y + m₂Z = 180° 2. Postulate 3.m_Y = 50° 3. Given 4. 2X = LZ 4. Given 5. m/X=m/Z 5. Congruency 6. mzZ+50° + m₂Z = 180° 6.[? ] 7.m/Z+m<Z = 130° 8.2(m/Z) = 130° 9.m/Z = 65° Copyright © 2003 - 2023 International Academy of Science. All Rights Reserved. 3 E F3 C $ 7. 8. Algebra 9. Division Property of Equality 4 (a) R F F4 V % 5 F5 G 6 B F6 Y. H & 7 N Select the reason that best supports Statement 6 in the given proof. A. Multiplication Property of Equality B. Substitution C. Addition Property of Equality D. Subtraction Property of Equality F7 J * 00 8 F8 M ( K F9 1² L g F10
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