Here are some examples:
* "He was in a predicament, having promised his wife he'd stay home but his boss called him into work."
* "The company is in a financial predicament, with low sales and rising costs."
Here are some synonyms for predicament:
* Dilemma
* Trouble
* Quandary
* Fix
* Bind
* Jam
In essence, a predicament is a situation where you feel trapped or unsure of what to do next.