Prove that LABC is a right angle. Given: AD BD CD Prove: m ABC= 90 M2CDB = 2x Triangle Exterior Angle Theorem m

Elementary Geometry For College Students, 7e
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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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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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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 Click to select your answer(s) and then click Check Answer. O parts Clear All
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