a, Do MN ⊥ Ax , MN ⊥ Cy => Ax // Cy ( từ vuông góc đến song song)
b, Kẻ Bz // AB // Cy
Do Ax // Bz \(\Rightarrow\widehat{A}=\widehat{B_1}=40^o\)(2 góc so le trong)
Do Bz // Cy \(\Rightarrow\widehat{B_2}=\widehat{C}=50^o\)
Ta thấy: \(\widehat{ABC}=\widehat{B_1}+\widehat{B_2}=40^o+50^o=90^ohayAB\perp BC\left(dpcm\right)\)