
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
Given $α(0, \frac {π}{2})$, vector $ \overrightarrow{a}=(\cos α, \sin α)$, and $ \overrightarrow{b}=(- \frac {1}{2}, \frac { \sqrt {3}}{2})$. Find the angle $α$ when $|2 \overrightarrow{a}+ \overrightarrow{b}|=| \overrightarrow{a}-2 \overrightarrow{b}|$.

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