a,Vì \(\widehat{xOy}\)là góc bẹt =>\(\widehat{xOy}=180^o\)
Ta có:\(\widehat{xOz}+\widehat{yOz}=\widehat{xOy}\)
\(\widehat{xOz}+80^o=180^o\)
\(\widehat{xOz}=180^o+80^o=100^o\)
Vậy \(\widehat{xOz}=100^o\)
b,Vì Om là p/g xOz
\(\Rightarrow\widehat{zOx}=\frac{1}{2}\widehat{mOz}=\frac{1}{2}.100^o=50^o\)
Vì On là p/g nOz
\(\Rightarrow\widehat{yOz}=\frac{1}{2}\widehat{zOn}=\frac{1}{2}.80^o=40^o\)
Ta có:\(\widehat{mOz}+\widehat{zOn}=50^o+40^o=90^o\)
\(\Rightarrow\widehat{mOz}\)và \(\widehat{zOn}\) là 2 góc phụ nhau nhưng không kề nhau