ZVUX and 2UXY are supplementary. Complete the proof that TV | WY. W Statement Reason ZVUX and LUXY are supplementary Definition of supplementary angles Given MZVUX + M2UXY = 180° Reflexive Property of Congruence Reflexive Property of Equality Substitution M2SUV + MZVUX = 180° 4 MZVUX + M2UXY = mZSUV + MZVUX MZUXY = mZSUV TV || WY N. 1,

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 46E
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Question
Transitive property of congruence, transitive property of equality, vertical angle theorem.
ZVUX and ZUXY are supplementary. Complete the proof that TVI WY.
W
Statement
Reason
ZVUX and ZUXY are supplementary
Definition of supplementary angles
Given
2
MZVUX + M2UXY = 180°
Reflexive Property of Congruence
Reflexive Property of Equality
Substitution
3
MZSUV + M2VUX = 180°
MZVUX + M2UXY = mZSUV + MZVUX
M2UXY = M2SUV
TVIWY
Transcribed Image Text:ZVUX and ZUXY are supplementary. Complete the proof that TVI WY. W Statement Reason ZVUX and ZUXY are supplementary Definition of supplementary angles Given 2 MZVUX + M2UXY = 180° Reflexive Property of Congruence Reflexive Property of Equality Substitution 3 MZSUV + M2VUX = 180° MZVUX + M2UXY = mZSUV + MZVUX M2UXY = M2SUV TVIWY
ZVUX and 2UXY are supplementary. Complete the proof that TV | WY.
W
Statement
Reason
1
ZVUX and LUXY are supplementary
Algebra
Angles forming a linear pair sum to 180°
Converse of Corresponding Angles Theorem
Corresponding Angles Theorem
Definition of congruence
MZVUX + M2UXY = 180°
3
M2SUV + MZVUX = 180°
4
MZVUX + M2UXY = MZSUV + M2VUX
M2UXY = mZSUV
TV | WY
2.
Transcribed Image Text:ZVUX and 2UXY are supplementary. Complete the proof that TV | WY. W Statement Reason 1 ZVUX and LUXY are supplementary Algebra Angles forming a linear pair sum to 180° Converse of Corresponding Angles Theorem Corresponding Angles Theorem Definition of congruence MZVUX + M2UXY = 180° 3 M2SUV + MZVUX = 180° 4 MZVUX + M2UXY = MZSUV + M2VUX M2UXY = mZSUV TV | WY 2.
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