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Let $\angle ABC$ and $\angle DEF$ be supplementary and let ray $\overrightarrow{EG}$ bisect $\angle DEF$

Find the measure of $\angle GEF$ if the measure of $\angle ABC = 70^{\circ}$.

$110^{\circ}$

$40^{\circ}$

$150^{\circ}$

$140^{\circ}$

$70^{\circ}$

$55^{\circ}$