如图，AB=AC，∠ABC=70°，∠ABC的角平分线及△ABC的外角平分线相交于D，则∠CAD的度数是------．

学习时间:2026-04-07 20:23:21 阅读：9582

如图，AB=AC，∠ABC=70°，∠ABC的角平分线及△ABC的外角平分线相交于D，则∠CAD的度数是______．

端庄的黑裤

2026-04-07 20:23:21

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∵AB=AC，∠ABC=70°，∠B=∠ACB=70°，∵∠CAF是△ABC的外角，∴∠CAF=∠ABC+∠ACB=140°，∵AD是∠CAF的平分线，∴∠CAD=12∠CAF=70°．故答案为：70°．