STEP-BY-STEP ANSWER:
Step 1: Alkylating agents add alkyl groups to the DNA molecule.
Step 2: This alteration disrupts the DNA structure, inhibiting replication and transcription.
Step 3: As a result, rapidly dividing cancer cells are unable to proliferate, leading to cell death.
Final Answer: Alkylating agents work in chemotherapy by modifying DNA, thereby halting cell division and inducing apoptosis in cancer cells.