Victor is completing a two-column proof, given line m and mZFGE= 155°. Complete the proof table. Statement Reason Line m Given MFGE = 155° Given

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
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Question
Victor is completing a two-column proof, given
line m and mZFGE = 155°.
Complete the proof table.
Statement
Reason
Line m
Given
m.FGE = 155°
Given
m.FGH = m.FGE + m.EGH Angle Addition Postulate
m.FGH = 180°
Definition of a Straight Angle
180° = 155° + m.EGH
Substitution
MEGH = 25°
: Definition of Angle Bisector
::
Definition of Supplementary Angles
:: Subtraction Property of Equality
:: Segment Addition Postulate
Transcribed Image Text:Victor is completing a two-column proof, given line m and mZFGE = 155°. Complete the proof table. Statement Reason Line m Given m.FGE = 155° Given m.FGH = m.FGE + m.EGH Angle Addition Postulate m.FGH = 180° Definition of a Straight Angle 180° = 155° + m.EGH Substitution MEGH = 25° : Definition of Angle Bisector :: Definition of Supplementary Angles :: Subtraction Property of Equality :: Segment Addition Postulate
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