Hình b:
\(x=90^0-60^0=30^0\)
\(y=90^0-30^0=60^0\)
Vì \(AE//BC\Rightarrow\widehat{EAB}=\widehat{ABC}=y=70^0\) (slt)
Ta có : \(\widehat{ABC}\widehat{+\widehat{BAC}+ACB=180^0}\)
\(\Rightarrow70^0+x+75^0=180^0\)
\(\Rightarrow x=35^0\)
Vì \(\left\{{}\begin{matrix}AE//BC\\AB\perp BC\end{matrix}\right.\)
\(\Rightarrow AE\perp AB\) tại A ( qh giữa vuông góc và song song )
\(\Rightarrow\widehat{BAE}=90^0\)
Ta có: \(\widehat{EAC}+\widehat{BAC}=\widehat{BAE}=90^0\)
\(\Rightarrow60^0+x=90^0\)
\(\Rightarrow x=30^0\)
Vì \(AE//BC\Rightarrow\widehat{EAC}=\widehat{ACB}=y=60^0\)