△ABC中,AB=AC,△ADE中,AD=AE且∠BAC=∠DAE,连BD、CE交于点P.

题目

△ABC中,AB=AC,△ADE中,AD=AE且∠BAC=∠DAE,连BD、CE交于点P.
求∠BAC与∠BPE的关系
这题我班没人会啊

答案

∠BAC=∠DAE
∠EAC=∠DAB
AB=AC,AD=AE,
△EAC全等于△DAB
∠ACE=∠ABD
∠BPE=∠PBC+∠PCB=∠PBC+∠BCA+∠ACE=∠PBC+∠ABD+∠BCA=∠ABC+∠ACB=180度-∠BAC