a) Tam giác ABC cân tại A (cmt). \(\Rightarrow\widehat{BCA}=\dfrac{180^o-\widehat{BAC}}{2}.\)
Ta có: \(\widehat{DAC}=\widehat{BAD}+\widehat{BAC}=2\widehat{BCA}+\widehat{BAC}=2.\dfrac{180^o-\widehat{BAC}}{2}+\widehat{BAC}=180^o-\widehat{BAC}+\widehat{BAC}=180^o.\)
\(\Rightarrow C;A;D\) thẳng hàng.