
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
Consider an isosceles triangle $XYZ$ where $XY = YZ$ and $\angle YXZ = \angle YZX = 50^\circ$. Line segments $\overline{JK}$, $\overline{LM}$, and $\overline{NO}$ are drawn parallel to base $\overline{XZ}$ such that $YJ = JL = LM = MO$. What is the ratio of the area of trapezoid $NOXZ$ to the area of triangle $XYZ$?

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