Question

如图,△ABC与△ADE都为等边三角形,求证∠ABD=∠ACE

Answer 1

∵AB=AC,

AD=AE,

∠BAC=∠DAE=60°,

∠BAC-∠DAC=∠DAE-∠DAC,

∴∠BAD=∠CAE,

∴△ABD≌△ACE,

∴∠ABD=∠ACE.