
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
Points $A, B, C,$ and $D$ are sequentially located on a circle. It is known that the degree measures of the smaller arcs $AB, BC, CD,$ and $AD$ have a ratio of $1: 3: 5: 6$. Find the angles of the quadrilateral $ABCD$.

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