
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
A circle of radius $15$ inches has its center at the vertex $C$ of an isosceles triangle $ABC$ where $AC = BC$ and passes through the vertex $B$. Side $AC$ is extended through $C$ to intersect the circle at point $D$. Calculate the degree measure of angle $ADB$ in this setup.
A) 60°
B) 75°
C) 90°
D) 105°
E) 120°

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