어떻게(eo-tteoh-ge, eotteohge)
An interrogative word used to ask or explain methods, states, or processes
When to use
asking method, describing state, problem-solving question
The nuance
'어떻게' is mainly used to ask about methods or states or to explain situations; it can appear at the beginning or middle of a sentence naturally.
어떡해(eo-tteok-hae, eotteokhae)
An exclamation or colloquial expression used to show emotion in difficult or embarrassing situations
When to use
emotional expression, embarrassed situation, expressing worry
The nuance
'어떡해' is mainly used to express embarrassment, worry, or difficulty, often as an exclamation standing alone at the start of a sentence; even when used interrogatively, the emotional nuance is primary.