
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 $\triangle FOX$, $\measuredangle FOX=80^{\circ}$ and $\measuredangle FXO=30^{\circ}$. $FO=1$. Let $P$ be the midpoint of segment $\overline{FO}$. Extend segment $\overline{OX}$ through $X$ to point $B$ such that $\angle OXB = \angle FXO$ and $XB=BO$. Find $XB$.

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