Đặt \(\widehat{AOB}=\alpha\)\(\left(0^o< \alpha< 90^o\right)\)
Ta có \(\widehat{AOB}+\widehat{BOC}=\alpha+\widehat{BOC}=\widehat{AOC}=90^o\)
=> \(\widehat{BOC}=90^o-\alpha\)(1)
và \(\widehat{BOC}+\widehat{COD}=90^o\)
=> \(\widehat{BOC}=90^o-\widehat{COD}\)(2)
Từ (1) và (2)
=> \(\widehat{AOB}=\widehat{COD}=\alpha\)