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A star with a surface temperature of 20,000 K fits into the spectral class B. Spectral classes are typically categorized based on temperature as follows:
- O: > 30,000 K
- B: 10,000 - 30,000 K
- A: 7,500 - 10,000 K
- F: 6,000 - 7,500 K
- G: 5,200 - 6,000 K
- K: 3,700 - 5,200 K
- M: < 3,700 K
Since 20,000 K is within the range of 10,000 to 30,000 K, the answer is B.