Câu 1:
\(\widehat{xOy}=\widehat{xOm}+\widehat{yOm}=35^o+65^o=100^o\)
Câu 2:
a) \(\widehat{yOz}=\widehat{xOy}-\widehat{xOz}=100^o-30^o=70^o\)
b) \(\widehat{zOt}=\widehat{yOt}+\widehat{yOz}=30^o+70^o=100^o\)
Nên \(\widehat{zOt}=\widehat{xOy}=100^o\)
Câu 3:
\(\widehat{mOn}=180^o-\left(55+65\right)=60^o\)
Câu 4:
\(\widehat{yOa}+\widehat{xOa}=70^o\) do \(\widehat{xOy}=\widehat{yOa}+\widehat{xOa}\)
mà \(\widehat{xOa}-\widehat{yOa}=10^o\\ \widehat{xOa}=\dfrac{70+10}{2}=40^o\\ \widehat{yOa}=40^o-10^o=30^o\)
Câu 5:
a) tên các góc nhọn: \(\widehat{bOy};\widehat{aOx}\)
tên các góc vuông: \(\widehat{aOb}\)
tên các góc tù: \(\widehat{bOx};\widehat{aOy}\)
b) tên cặp góc phụ nhau \(\widehat{aOx}\) phụ với \(\widehat{bOy}\)
