
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
There is a protractor with an angle of $40^{\circ}$. How can you use it to construct angles of:
a) $80^{\circ}$;
b) $160^{\circ}$;
c) $20^{\circ}$?

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