
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
Let  $E$  be a point on side  $[AD]$  of rhombus  $ABCD$ . Lines  $AB$  and  $CE$  meet at  $F$ , lines  $BE$  and  $DF$  meet at  $G$ . If  $m(\widehat{DAB}) = 60^\circ $ , what is $m(\widehat{DGB})$ ? $ 
\textbf{a)}\ 45^\circ
\qquad\textbf{b)}\ 50^\circ
\qquad\textbf{c)}\ 60^\circ
\qquad\textbf{d)}\ 65^\circ
\qquad\textbf{e)}\ 75^\circ
$ 

Present the answer in LaTex format: \boxed{Your answer}
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