In isosceles ?ACB, AC ? BC , in isosceles ?AFB, AF ? BF. Prove that ?EBC ? ?DAC.


(Outline) ?CAB ? ?CBA by Thm 4.5, ?FAB ? ?FBA by Thm 4.5. ?FBA + ?FBD = ?DBA, ?FAB + ?FAE = ?EAB therefore ?FBD ? ?EAE. AC ? BC given. ?BCA ?
?ACB identity. ?EBC ? ?DAC by ASA.

Mathematics

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