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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Question
Which theorem is this ?

Transcribed Image Text:4.2.24
Prove that ABC is a right angle.
Given: AD BD CD
Prove: MABC = 90
MZCDB = 2x
Triangle Exterior Angle Theorem
MZBCD+ MZDBC+ MZCDB = 180
Triangle Angle-Sum Theorem
MZBCD= mZDBC
Isosceles Triangle Theorem
2.MZBCD+ 2x= 180
Substitution
MZBCD= 90-x
Algebraic Simplification
(Do not include the degree symbol in your answer.)
MZABC + MZBCA + MZCAB = 180
Triangle Angle-Sum Theorem
MZABC + (90- x)+ x = 180
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