4. Given: 25 and 27 are vertical angles 9. .5 8. Prove: 25 7 Statements Reasons 25 and 28 form a linear pair 27 and 28 form a linear pair Given from the diagram 25 and 28 are supplementary 27 and 28 are supplementary m25 + mz8 = 180° m27 + m28 = 180° m25 + m28 = m27+ m28 m25 = m27 * Definition of a Linear Pair *Reflexive Property * Definition of Supplementary Angles *Definition of Complementary Angles *Transitive Property *Subtraction 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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4. Given: 25 and 27 are vertical angles
9.
Prove: 25 7
.5
8
Statements
Reasons
25 and 28 form a linear pair
27 and 28 form a linear pair
Given from the diagram
25 and 28 are supplementary
27 and 28 are supplementary
m25 + m28 = 180°
m27 + m28 = 180°
m25 + m28 = m27+ m28
m25 = m27
* Definition of a Linear Pair
*Reflexive Property
* Definition of Supplementary Angles
*Definition of Complementary Angles
*Transitive Property
*Subtraction Property of Equality
Transcribed Image Text:4. Given: 25 and 27 are vertical angles 9. Prove: 25 7 .5 8 Statements Reasons 25 and 28 form a linear pair 27 and 28 form a linear pair Given from the diagram 25 and 28 are supplementary 27 and 28 are supplementary m25 + m28 = 180° m27 + m28 = 180° m25 + m28 = m27+ m28 m25 = m27 * Definition of a Linear Pair *Reflexive Property * Definition of Supplementary Angles *Definition of Complementary Angles *Transitive Property *Subtraction Property of Equality
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