a: Sửa đề: Ax//Dy
\(Ax\perp\)AD
Dy\(\perp\)AD
Do đó: Ax//Dy
b: Ax//Dy
=>\(\widehat{ABC}+\widehat{BCD}=180^0\)(hai góc trong cùng phía)
=>\(\widehat{ABC}+115^0=180^0\)
=>\(\widehat{ABC}=65^0\)
\(\widehat{yCB}+\widehat{DCB}=180^0\)(hai góc kề bù)
=>\(\widehat{yCB}+115^0=180^0\)
=>\(\widehat{yCB}=65^0\)
Ax//Dy
=>\(\widehat{xBC}=\widehat{BCD}\)
mà \(\widehat{BCD}=115^0\)
nên \(\widehat{xBC}=115^0\)