
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
1. In the given diagram, the sum of the three marked angles is \( a^\circ \). Find \( a \).

2. The sum of the interior angles of a regular \( b \)-sided polygon is \( a^\circ \). Find \( b \).

3. If \( 8^{b} = c^{21} \), find \( c \).

4. If \( c = \log_{d} 81 \), find \( d \).

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