
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
Two tangents to a circle are drawn from a point $A$. The points of contact $B$ and $C_1$ divide the circle into two arcs with a ratio of $3 : 5$. Find the degree measure of $\angle{BAC_1}$.

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