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.
Chapter2: Parallel Lines
Section2.5: Convex Polygons
Problem 48E: For concave pentagon ABCDE, find the measure of the reflex angle at vertex E if mA=mD=x, mB=mC=2x,...
icon
Related questions
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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Area of a Circle
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, geometry and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL