Question

In the adjoining figure, the arms of two angels are parallel, if $\angle ABC={70}^o$, find$\left(i\right)$ $\angle DGC$$\left(ii\right)$ $\angle DEF$

Answer 1

$\begin{array}{c}AB\parallel ED\\ \angle DGC=\angle ABC\left[correspondingangles\right]\\ \Rightarrow \angle DGC={70}^0\\ \sin ceDC\parallel EF\\ \angle DEF=\angle DGC\left[correspondingangles\right]\\ \Rightarrow \angle DEF={70}^0\end{array}$