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In the diagram below ABGH, BCFG and CDEF are squares. Prove that 21 + 2 = Z3. A В C D <4 <6 <5. <7 <1 <2 <3 H G F E (s) GF|DF = 1/ (A) 27 = 27 (s) F D/FH V2/ = 1/ AGFD ~ A by s As 21 = Z 6 So, 21 + 22 = 4 6 +(2) = Z 6 +(4 +2 5 alternate angles = Z 3 alternate angles

In the diagram below ABGH, BCFG and CDEF are squares. Prove that 21 + 2 = Z3. A В C D <4 <6 <5. <7 <1 <2 <3 H G F E (s) GF|DF = 1/ (A) 27 = 27 (s) F D/FH V2/ = 1/ AGFD ~ A by s As 21 = Z 6 So, 21 + 22 = 4 6 +(2) = Z 6 +(4 +2 5 alternate angles = Z 3 alternate angles

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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In the diagram below A BGH, BCFG and CDEF are squares. Prove that 21 + Z2 = 23. A B C <4 <5 <7 <1 <2 <3 H G F E (s) GF|DF = 1/ (A) Z7 = 27 (s) F D/FH = v2/ = 1/ / AGFD ~ A by s As 21 = Z 6 So, 21 + 22 = Z 6 +(22) = Z 6 +(24 + 2 5 alternate angles = Z 3 alternate angles
Transcribed Image Text:In the diagram below A BGH, BCFG and CDEF are squares. Prove that 21 + Z2 = 23. A B C <4 <5 <7 <1 <2 <3 H G F E (s) GF|DF = 1/ (A) Z7 = 27 (s) F D/FH = v2/ = 1/ / AGFD ~ A by s As 21 = Z 6 So, 21 + 22 = Z 6 +(22) = Z 6 +(24 + 2 5 alternate angles = Z 3 alternate angles
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