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In the figure below, $ {\overline{ AC}} $|| $ {\overline{DG}} $, $m{\angle }CBF = 60°$, and $m{\angle } DEF = 140°.$

What is the $m{\angle }BFE$, indicated by $ {\theta} $?

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Note: Figure not drawn to scale

A

$80°$

B

$100°$

C

$140°$

D

$160°$

E

$200°$

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