a) $\begin{cases}a\perp DC\\b\perp DC\end{cases}\to a//b$
b) $a//b\to \widehat{A_1}=\widehat{B_1}=45^\circ$ (đồng vị)
c) $a//b \to \widehat{A_2}+\widehat{B_1}=180^\circ$ (trong cùng phía)
$a//b \to \widehat{C_1}+\widehat{D_1}=180^\circ$ (trong cùng phía)
$\to \widehat{A_2}+\widehat{B_1}+\widehat{C_1}+\widehat{D_1}=180^\circ+180^\circ=360^\circ$