Question

In the given figure , the arms of two angles are parallel. if $\angle ABC={70}^{\circ }$ , then find
(i) $\angle DGC$
(ii) $\angle DEF$

Answer 1

Given that:

Sides of the two angles are parallel so $AB\parallel DGE$ and $lineBGC\parallel EF$

$i)$If $AB\parallel DGE$ and $BC$ is transversal line, then

$\angle DGC=\angle ABC={70}^{\circ }$ (Corresponding angle)

$ii)$If $lineBGC\parallel EF$ and $DE$ is transversal line, then

$\angle DEF=\angle DGC={70}^{\circ }$ (Corresponding angle)