Question

如图,AB比AD等于BC比DE等于AC比AE,试说明,∠BAD等于∠CAE

Answer 1

△ABC与△ADE相似,∠ADE=∠ABC,∠AED=∠ACB,∠DAE=∠BAC,

∵BAD=BAC-DAC,CAE=DAE-DAC

∴BAD=CAE

∴△ABD与△ACE相似(两边夹一角)

∴∠ABd=∠ACE