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sure you consider whether it is a 1st or 2nd occurrence. - Given: AB with m ZABD = m ZCBE = x and m ZDBE = 7x Prove: m ZABE = 160° A X 7x B x E

sure you consider whether it is a 1st or 2nd occurrence. - Given: AB with m ZABD = m ZCBE = x and m ZDBE = 7x Prove: m ZABE = 160° A X 7x B x E

Elementary Geometry For College Students, 7e
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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Match the reason with the statement for the proof below. If a reason is used more than once, please be sure you consider whether it is a 1st or 2nd occurrence. Given: AB with m ZABD = m ZCBE = x and mZDBE = 7x Prove: m ZABE = 160° A D X 7x B X A a. E Division Property of Equality
Transcribed Image Text:Match the reason with the statement for the proof below. If a reason is used more than once, please be sure you consider whether it is a 1st or 2nd occurrence. Given: AB with m ZABD = m ZCBE = x and mZDBE = 7x Prove: m ZABE = 160° A D X 7x B X A a. E Division Property of Equality
f. 1. m ZABD = m ZCBE = x and m ZDBE = 7xv b. C. e. a. 2. m ZABE = 8x 3. ZABE and ZCBE are a linear pair.x 4. m ZABE+mZCBE = 180°x 5. 8x + x = 180° 6. 9x = 180° h. 7. x = 20° X d. 8. m ZABE = 8(20°) X X X A a. b. Definition of Linear Pair C. e. d. Linear Pair Postulate f. Division Property of Equality g. h. Substitution (1st occurrence) Combine Like Terms Given Angle Addition Postuate Substitution (2nd occurrence)
Transcribed Image Text:f. 1. m ZABD = m ZCBE = x and m ZDBE = 7xv b. C. e. a. 2. m ZABE = 8x 3. ZABE and ZCBE are a linear pair.x 4. m ZABE+mZCBE = 180°x 5. 8x + x = 180° 6. 9x = 180° h. 7. x = 20° X d. 8. m ZABE = 8(20°) X X X A a. b. Definition of Linear Pair C. e. d. Linear Pair Postulate f. Division Property of Equality g. h. Substitution (1st occurrence) Combine Like Terms Given Angle Addition Postuate Substitution (2nd occurrence)
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