"I hate my job, but I can't quit because of my mortgage. I feel trapped and angry every day."
Dharma & Endurance
Your current work, though unpleasant, is your means of sustaining your responsibilities (Dharma) right now. GitaLens would advise you to perform this duty without attachment to the anger. By doing the work excellently while detached from the frustration, you clear your mind to find the next path. The trap is in the mind's resistance, not the job itself.
2.47 - You have a right to perform your prescribed duty...
"I broke up with my partner and I can't stop thinking about what went wrong. I feel incomplete."
The Self is Complete
The Gita teaches that the true Self (Atman) is whole and cannot be diminished by the departure of another. The pain is real, but it comes from attachment, not from a lack within you. GitaLens would guide you to observe the grief without becoming the grief.
2.14 - The non-permanent appearance of happiness and distress...
"I have a huge opportunity to launch a startup, but I'm terrified of failing and losing my reputation."
Action vs. Outcome
Fear of failure is simply an attachment to a future result that hasn't happened. Your duty is to the vision and the work. If the startup fails, it fails. If it succeeds, it succeeds. Your worth is in the courage of the attempt, not the outcome.
2.38 - Fight for the sake of fighting, without considering happiness or distress...