
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
From the vertex  $ A$  of the equilateral triangle  $ ABC$  a line is drown that intercepts the segment  $ [BC]$  in the point  $ E$ . The point  $ M \in (AE$  is such that  $ M$  external to  $ ABC$ ,  $ \angle AMB \equal{} 20 ^\circ$  and  $ \angle AMC \equal{} 30 ^ \circ$ . What is the measure of the angle  $ \angle MAB$ ?

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