如图,在△ABC中,AB=AC,AD⊥BC于的,AD=AE,若∠BAD=α,则∠EBC等于

问题描述:

如图,在△ABC中,AB=AC,AD⊥BC于的,AD=AE,若∠BAD=α,则∠EBC等于

∵△ABC中,AD⊥BC,AB=AC,∠BAD=α
∴∠DAC=∠BAD=α
∵AD=AE
∴∠ADE=1/2(180°-∠DAC)=90°-1/2α
∴∠EDC=90°-∠ADE=1/2α.