
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
$ABCD$ is a trapezoid with $AB \parallel CD$, $AB=6$, and $CD=15$. If the area of $\triangle AED=30$, what is the area of $\triangle AEB?$
(a) 20
(b) $\frac{40}{7}$
(c) 12
(d) $\frac{8}{3}$

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