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The given sentence is of the past tense and is in the active voice, as the form of the verb (‘agreed’) shows that its subject (‘they’) was doing something and was ‘active’.
It can be changed to the passive voice, where something can be done by the subject.
The structures for active/passive voices are:
Active Voice: Subject + V2 + object
Passive Voice: Object+ was/were + V3+ by + subject
In order to do that,
1. The object of the transitive verb in the active voice should become the subject of the verb in the Passive voice. Here, the object is hidden. Hence, we will use 'it' as the subject.
2. Add the appropriate form of the verb 'be' to the sentence and use the past participle of the verb. The given sentence is in the past tense. Therefore, 'agreed' is converted to ‘was agreed'.
3. Add a 'by' followed by the doer of the action.
Thus, the same sentence in the Passive voice is ‘It was agreed by them that the elections should be postponed’.
Hence, option C is the correct answer.