相关DAEBC的文学知识

问题详情：如图，△ABC和△ADE中,AB=AD,AC=AE,∠BAC＝∠DAE,BC交DE于点O，∠BAD=ａ.(1)求*：∠BOD=ａ.(2)若AO平分∠DAC,求*：AC=AD. (3)若∠C=30°，OE交AC于F,且△AOF为等腰三角形，则ａ=                       ...