
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
Two tangents to a circle are drawn from a point $P$. The points of contact $D$ and $E$ on the circle divide the circle into arcs with lengths in the ratio $3:5$. What is the degree measure of $\angle{DPE}$?
A) 45
B) 60
C) 67.5
D) 90
E) 120

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