若△ABC是⊙o的内接三角形,OD⊥BC于D,∠BOD=38°,则∠A=( )

2025-05-24 09:14:13
推荐回答(2个)
回答1:

∠BOD=38°
则∠BOC=76°
∠A=0.5∠BOC=38°

回答2:

∠OAB=∠OBA
∠OAC=∠OCA
∠OAB+∠OAC=∠OBA+∠OCA=∠A

∠OBC=∠OCB
∠OBC+∠OCB=180-∠BOD=142

∠OAB+∠OBA+∠OAC+∠OCA+∠OBC+∠OCB=180
2∠A+142=180
∠A=19