a) Ta có: DE//AB
\(\Rightarrow\widehat{BAC}=\widehat{AED}=60^0\)(so le trong)
\(\Rightarrow\widehat{DEC}=180^0-\widehat{AED}=180^0-60^0=120^0\)(kề bù)
b) Kẻ Cy//AB
\(\Rightarrow\widehat{BAC}+\widehat{ACy}=180^0\)(trong cùng phía)
\(\Rightarrow\widehat{ACF}+\widehat{FCy}+\widehat{BAC}=180^0\)
\(\Rightarrow\widehat{FCy}=180^0-60^0-40^0=80^0\)
\(\Rightarrow\widehat{FCy}+\widehat{CFG}=80^0+100^0=180^0\)
Mà 2 góc này trong cùng phía
=> Cy//FG
Mà FG//AB//DE
=> DE//FG
12.
a,Vì DE//AB nên \(\widehat{DEA}=\widehat{EAB}=60^0\)
\(\Rightarrow\widehat{DEC}=180^0-\widehat{DEA}=120^0\left(kề.bù\right)\)
b, Kẻ xy//DE//AB (C∈xy)
\(\Rightarrow\widehat{BAC}=\widehat{ECx}=60^0\left(so.le.trong\right)\\ \Rightarrow\widehat{FCy}=180^0-\widehat{ACF}-\widehat{ACx}=180^0-60^0-40^0=80^0\left(kề.bù\right)\\ \Rightarrow\widehat{FCy}+\widehat{CFG}=80^0+100^0=180^0\)
Mà 2 góc này ở vị trí trong cùng phía nên xy//FG
Mà xy//DE nên DE//FG
