Question

In the figure $\angle ABC={80}^o$. Find $\angle DGC$ and $\angle DEF$, given $AB||DE$ and $BC||EF$.

Answer 1

Given $\angle ABC={80}^{\circ }$

$AB\parallel DE$, $BC$ is transversal line,

Hence,

$\angle ABC=\angle DGC={80}^{\circ }$

$BC\parallel EF$, $ED$ is transversal line,

Hence,

$\angle DEF=\angle DGC={80}^{\circ }$