Final answer:
The segment error in the sentence is the pronoun 'Us,' which should be 'We' as it is the subject of the sentence. No other errors are present in the segments 'ourselves' and 'their,' and they are used correctly in context. The correct answer is option 1.
Step-by-step explanation:
To identify segment errors in a sentence, one must analyze each segment for issues such as grammar, punctuation, usage, and sentence structure. The sentence presented has an error in the use of the pronoun 'Us' at the beginning. The correct pronoun to use is 'We' when it is the subject of a sentence. Therefore, the corrected sentence should read: 'We faculty members have to agree among ourselves on how we want the deans to change their timetable.'
The segments 'ourselves' and 'their' do not contain errors as they are used appropriately within the context of the sentence. 'Ourselves' correctly refers to the faculty members, and 'their' correctly refers to the deans. It's important to note that segments of American cultures can have different rules of acceptable grammar, and context often guides the appropriateness of language use. In a college classroom setting, it is expected that Standard American English is used, especially in written communication.