如图所示,∠BOD=2∠AOB,OC平分∠AOD,且∠BOC=17°,求∠AOD的度数

2025-06-29 01:09:16
推荐回答(1个)
回答1:

,∵∠BOD=2∠AOB即∠BOD∶∠AOB=2∶1
∴∠BOD=2/3∠AOD
∵OC平分∠AOD
∴∠DOC=1/2∠AOB
∴∠BOD-∠DOC=∠BOC
即2/3∠AOD-1/2∠AOD=17°
∠AOD=17°÷(2/3-1/2)
=17°÷1/6
=102°