
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  $D$  and  $E$  are chosen on the exterior of  $\vartriangle ABC$  such that  $\angle  ADC = \angle  BEC = 90^o$ . If  $\angle ACB = 40^o$ ,  $AD = 7$ ,  $CD = 24$ ,  $CE = 15$ , and  $BE = 20$ , what is the measure of  $\angle ABC $  in,degrees?

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