a) Xét ΔADI và ΔAHI có \(\widehat{DAI}=\widehat{MAI;}\widehat{ADI}=\widehat{AHI}=90^o\) ; AI chung
=> ΔADI = ΔAHI (g.cg)
=> AD = AH = AB
Xét ΔABK và ΔAHK có \(\widehat{ABK}=\widehat{AHK}=90^o;AB=AH\) ; AH chung
=> ΔABK = ΔAHK (ch.cgv)
b) Ta có \(\widehat{DAI}=\widehat{IAH};\widehat{HAK}=\widehat{BAK}\)
Mà \(\widehat{DAB}=90^o=\widehat{DAI}+\widehat{IAH}+\widehat{HAK}+\widehat{BAK}=>2\widehat{DAH}+2\widehat{HAK}=90^o\)
\(=>\widehat{DAH}+\widehat{HAK}=90^o=>\widehat{IAK}=45^o\)