
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
In the non-convex quadrilateral $ABCD$, $\angle BCD$ is a right angle, $AB=15$, $BC=5$, $CD=12$, and $AD=13$. What is the area of quadrilateral $ABCD$?
A) 50
B) 76
C) 80
D) 106
E) 120

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