An incomplete proof of the triangle sum theorem follows. Complete the proof by providing all missing statements and reasons. Given: AABC m || AC Prove: mLA + m2B+ m2C = 180° B 1 A A Image created with GeoGebra m

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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An incomplete proof of the triangle sum theorem follows. Complete the proof by providing all missing
statements and reasons.
Given:
AABC
m || AC
Prove:
mLA+ m2B + mzC= 180°
B
A
Image created with GeoGebra
m
Transcribed Image Text:An incomplete proof of the triangle sum theorem follows. Complete the proof by providing all missing statements and reasons. Given: AABC m || AC Prove: mLA+ m2B + mzC= 180° B A Image created with GeoGebra m
22 and Care alternate interior angles
21 and 2A are alternate interior angles
22 LC
21 LA
m22 = m/C
m21 = mzA
?
?
mLA + m2B+ m2C = 180°
?
21, 2B, and 22 form a straight angle. Definition of a straight angle
A straight angle measures exactly
180°
?
?
Transcribed Image Text:22 and Care alternate interior angles 21 and 2A are alternate interior angles 22 LC 21 LA m22 = m/C m21 = mzA ? ? mLA + m2B+ m2C = 180° ? 21, 2B, and 22 form a straight angle. Definition of a straight angle A straight angle measures exactly 180° ? ?
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