This is the 7905th most frequent Polish word.
mog
"Móg" in Polish means "could" (past tense of "móc," which means "can/be able to").
Here, 'mogłem' represents the past tense first-person singular form of 'móc', indicating the ability to do something in the past.
Mogłem iść na spacer, ale wybrałem książkę.
I could go for a walk, but I chose a book.
In this sentence, 'mogę' is the present tense first-person singular form of 'móc', used in a polite request.
Czy mogę zapytać o drogę?
May I ask for directions?
Here, 'mógł' appears in the conditional mood, expressing a hypothetical ability depending on a condition.