
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
In a triangle ABC, angle B is a right angle. The triangle ABC is similar to another triangle DEF, where angle E is also a right angle. If angle A in triangle ABC is $30^\circ$, determine the angle C in triangle DEF given that angle D is $60^\circ$.
A) $20^\circ$
B) $40^\circ$
C) $30^\circ$
D) $50^\circ$

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