Final answer:
The synonym for 'insincere' in the passage provided is 'Smooth' (Option B), as it reflects the superficial and non-genuine tone similar to the word 'glib' used in the context of the politician's apology.
Step-by-step explanation:
The student has asked to select the synonym for the word in bold from a given passage. In the sentence, 'When the politician was caught accepting gifts in exchange for political favors, he offered a glib explanation. The media condemned him as a liar and dismissed this insincere apology as nothing more than an attempt to distance himself from the scandal before running for reelection.' the word in bold is 'insincere'. Among the given options, the synonym of 'insincere' would be 'Smooth' (Option B), which indicates something delivered in a superficially convincing manner but lacking genuine feeling, similar to the word 'glib.' Options A) Sincere, C) Honest, and D) Genuine are antonyms of 'insincere' and therefore do not fit as synonyms.