Mathematics

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


SOLUTION
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,
$$\angle DEF=\angle DGC=80^\circ$$
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