
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 $\triangle ABC$, $\angle A = 120^\circ$, $\angle B = 30^\circ$, $\angle C = 30^\circ$, $\overline{AH}$ is a median, and $\overline{BM}$ is also a median. Calculate $\angle MHC$.
A) $15^\circ$
B) $22.5^\circ$
C) $30^\circ$
D) $40^\circ$
E) $45^\circ$

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