Lời giải:
a. Ta thấy: $AB\perp BC, CD\perp BC$
$\Rightarrow AB\parallel CD$
$BC\perp CD; DE\perp CD$
$\Rightarrow BC\parallel DE$
b.$AB\perp BC, BC\parallel DE\Rightarrow AB\perp DE$
Mà $DE\perp EF$
$\Rightarrow AB\parallel EF$
c.
Do $AB\parallel CD$ nên:
$\widehat{AIC}+\widehat{IAB}=180^0$ (2 góc trong cùng phía)
$\Rightarrow \widehat{AIC}=180^0-\widehat{IAB}=180^0-50^0=130^0$