Ta có : $\widehat{AOC}=\widehat{BOD}$ (đối đỉnh)
$\widehat{BOC}=\widehat{AOD}$ (đối đỉnh)
Vì $\widehat{AOC}+\widehat{BOC}=180^o$ mà $\widehat{AOC}=\dfrac{2}{3}\widehat{BOC}$
$=>\dfrac{2}{3}\widehat{BOC}+\widehat{BOC}=180^o$
$=>\dfrac{5}{3}\widehat{BOC}=180^o$
$=>\widehat{BOC}=108^o$
$=>\widehat{AOC}=180^o-108^o=72^o$
Vậy $\widehat{AOC}=\widehat{BOD}=72^o$
$\widehat{BOC}=\widehat{AOD}=108^o$