Final answer:
The sentence in question is a declarative sentence providing information about the state of a government building and a man's reaction to finding insects.
Step-by-step explanation:
The sentence 'Rumor had it that, for years, the government building had been plagued with problems. The man was not surprised when he found several spiders, roaches, and other insects in the corner of his room' is a declarative sentence. This type of sentence provides a statement or observation and ends with a period. In this case, the sentence is giving information about the condition of a government building and the reaction of a man to finding insects in it.