In the Illustration $\overline { A B }$ And $\overline { A C }$

In the illustration, $\overline { A B }$ and $\overline { A C }$ are secants; $\overline { C D}$ and $\overline { B F }$ are chords. Suppose ?DCF = $35$ °, ?EFC = $42$ ° , and $\widehat{ C F }$ arc degrees. Find $\widehat { B D }$ in arc degrees.

A) $\widehat { B D }$ = $140$ °
B) $\widehat { B D }$ = $100$ °
C) $\widehat { B D }$ = $70$ °
D) $\widehat { B D }$ = $115$ °
E) $\widehat { B D }$ = $110$ °

Correct Answer:

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