Final answer:
The analogy that has the same relationship as 'angry : enraged' is 'sad : depressed', as both latter terms are intensified states of the former terms.
Step-by-step explanation:
The question is asking which analogy has the same relationship as angry : enraged. The relationship between these two words is that 'enraged' is a more extreme form of being 'angry'. Therefore, the correct analogy should exhibit a similar pattern of an intensified emotion. When we review the options, the correct answer is:
Annoyed : irritated
Bored : tired
Furious : peaceful
Sad : depressed
Option 4, sad : depressed, mirrors the relationship of angry : enraged because 'depressed' is a more intense state of being 'sad', similar to how 'enraged' is a more intense state of being 'angry'. The other options do not accurately represent an intensification of the initial state.