Step 1: Role of ligase in DNA repair.
DNA ligase is an enzyme that plays a crucial role in the repair and replication of DNA by joining DNA fragments together.
Step 2: How ligase functions.
Ligase works by catalyzing the formation of a phosphodiester bond between the 3' hydroxyl group and the 5' phosphate group of adjacent nucleotides.
Step 3: Conclusion.
Thus, the correct answer is ((B) Ligase.
Final Answer:
\[
\boxed{\text{Ligase}}
\]