Question

Cho mình hình luôn đi ạ

Answer 1

a) Ta có:

\(\widehat{xON}+\widehat{MON}=90^0\left(do.Ox\perp OM\right)\)

\(\widehat{yOM}+\widehat{MON}=90^0\left(do.Oy\perp OM\right)\)

\(\Rightarrow\widehat{xON}=\widehat{yOM}\)

b) Ta có: \(\widehat{xON}+\widehat{MON}=90^0\left(do.Ox\perp OM\right)\)

\(\Rightarrow\widehat{xON}=90^0-\widehat{MON}\)

Mà \(\widehat{xON}=\widehat{yOM}\left(cmt\right)\)

\(\Rightarrow\widehat{xON}=\widehat{yOM}=90^0-\widehat{MON}\)

Ta có: \(\widehat{xON}+\widehat{yOM}+\widehat{MON}=\widehat{xOy}\)

\(\Rightarrow2.\left(90^0-\widehat{MON}\right)+\widehat{MON}=160^0\)

\(\Rightarrow180^0-2.\widehat{MON}+\widehat{MON}=160^0\Rightarrow\widehat{MON}=20^0\)