Ta có hình vẽ sau:
Xét \(\Delta ABDvà\Delta KBD\) có:
BD: chung
\(\widehat{DBA}=\widehat{DBK}\left(gt\right)\)
AB = KB (gt)
\(\Rightarrow\Delta ABD=\Delta KBD\left(c-g-c\right)\)
\(\Rightarrow\widehat{BAD}=\widehat{BKD}=90^o\) (2 góc t/ứng)
Vậy......................
Xét \(\Delta ABD\) và \(\Delta KBD\) có:
\(AB=KB\left(gt\right)\)
\(\widehat{ABD}=\widehat{KBD}\) (tia pg)
BD chung
\(\Rightarrow\Delta ABD=\Delta KBD\left(c.g.c\right)\)
\(\Rightarrow\widehat{BAD}=\widehat{BKD}=90^o\)
Vậy \(\widehat{BKD}=90^o.\)