Complete the proof that  ∠ TUW + ∠ PRQ = 180° . Q R S T U V F G H P W     Statement Reason 1   FH ∥   QS Given 2   FH ∥   TV Given 3 ∠ TUW ≅ ∠ FGW Corresponding Angles Theorem 4 ∠ FGW + ∠ PRQ = 180° Same-Side Exterior Angles Theorem 5 ∠ TUW + ∠ PRQ = 180°   Reflexive Property of Congruence Reflexive Property of Equality Substitution Transitive Property of Congruence Transitive Property of Equality

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
SectionP.CT: Test
Problem 1CT
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Related questions
Question
Complete the proof that 
TUW
+
PRQ
=
180°
.
Q
R
S
T
U
V
F
G
H
P
W
 
  Statement Reason
1
 
FH
 
QS
Given
2
 
FH
 
TV
Given
3
TUW
FGW
Corresponding Angles Theorem
4
FGW
+
PRQ
=
180°
Same-Side Exterior Angles Theorem
5
TUW
+
PRQ
=
180°
 
Reflexive Property of Congruence
Reflexive Property of Equality
Substitution
Transitive Property of Congruence
Transitive Property of Equality
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