
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 $XYZ,$ $\angle X=42^\circ,$ $\angle Y=74^\circ,$ and $XY=12.$ Points $B$ and $C$ are positioned on sides $\overline{XZ}$ and $\overline{XY},$ respectively, so that $XB = CY = 2.$ Let $O$ and $P$ be the midpoints of segments $\overline{XY}$ and $\overline{BC},$ respectively. Determine the degree measure of the acute angle formed by lines $OP$ and $XY.$
A) 70
B) 72
C) 74
D) 76
E) 78

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