Question

1) Cho tia Ot nằm giữa hai tia Ox,Ot:

Biết : xOt =\(\frac{2}{3}\)tOy; xOy = 150⁰ .Tính xOt; tOy

Answer 1

sai đề kìa

Answer 2

Giải:

Do Ot nằm giữa hai tia Ox, Oy ( giả thiết) \(\Rightarrow\widehat{xOt}+\widehat{tOy}=\widehat{xOy}\)

\(\Leftrightarrow2.\left(\widehat{xOt}+\widehat{tOy}\right)=2.\widehat{xOy}=2.150=300^o\)

\(\Leftrightarrow2.\widehat{xOt}+2.\widehat{tOy}=300^o\)

Lại có: \(\widehat{xOt}=\frac{2}{3}\widehat{tOy}\)

\(\Rightarrow2.\widehat{xOt}=3.\widehat{tOy}\)

Thay 2.\(\widehat{xOt}=3.\widehat{tOy}\), ta có: \(3.\widehat{tOy}+2.\widehat{tOy}=300^o\)

\(\Leftrightarrow\widehat{tOy}=300:\left(3+2\right)=60^o\)

\(\Rightarrow\widehat{xOt}=150^o-60^o=90^o\)

Vậy: góc tOy=60 độ

góc xOt=90 độ.