I want to tell someone about the same day [current day]. For instance:
I've worked out at the gym 2 hours ago and feel good as a result [now]. Now I'm listening to music and surfing the Internet.
Are my sentences correct?
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It sounds like you want to check the tenses.
Because your workout was already in the past, you should say it with the past tense,
I worked out at the gym 2 hours ago and it made me feel good. Now I'm listening to music and surfing the Internet.
Instead of "it made me feel good", you can also just simply say,
I feel good.
If you want to emphasize that you're feeling good at this moment, you can also say,
I'm feeling good now.