Bài 7:
Vì $Cx\parallel AB$ nên:
$\widehat{C_1}=\widehat{BAC}$ (2 góc so le trong)
$=180^0-\widehat{ABC}-\widehat{ACB}=180^0-75^0-30^0=75^0$
$\widehat{C_2}=180^0-\widehat{ACB}-\widehat{C_1}$
$=180^0-30^0-75^0=75^0$
$\Rightarrow \widehat{C_1}=\widehat{C_2}$
$\Rightarrow Cx$ là tia phân giác của $\widehat{ACy}$
Bài 6:
a. Ta thấy $AB\perp BD, CD\perp BD\Rightarrow AB\parallel CD(1)$
$CD\perp DF, EF\perp DF\Rightarrow CD\parallel EF(2)$
Từ $(1); (2)\Rightarrow AB\parallel CD\parallel EF$
b.
Vì $CD\parallel EF$ nên:
$\widehat{C_1}=\widehat{CEF}=65^0$ (2 góc so le trong)
$\widehat{C_2}=180^0-\widehat{C_1}=180^0-65^0=115^0$