
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 $\triangle CAT$, $\angle C=36^{\circ}$, $\angle A=56^{\circ}$, and $CA=12$. Points $X$ and $Z$ lie on sides $\overline{TC}$ and $\overline{TA}$, respectively, such that $CX=ZC=2$. Let $L$ and $O$ be the midpoints of segments $\overline{CA}$ and $\overline{XZ}$, respectively. What is the degree measure of the acute angle formed by lines $LO$ and $CA?$
A) 86°
B) 87°
C) 88°
D) 89°
E) 90°

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