I haven't studied engames much, so I'd like a bit of help with this one. I reached this position and my opponent offered me a draw. I declined and won the game, but my opponent made some mistakes, so I'm still not sure if this position is drawn or not:

It does look like draw to me. I have wrong bishop, it can be only used for protecting my own pawns and restricting his king. My plan was to try to capture his pawn on a-file and then protect my a-pawn with bishop while going with my king for his h-pawn, or vice versa. He can't be at both sides of board at once, which is typical element of endgames. The thing is how to restrict his king from protecting his a-pawn. I only managed to do that because of some of his inaccuracies.

who is on move?

White, like it says in diagram. He played Ke4 here, which is good move in my opinion. I can't get to his h-pawn and he gets closer to his a-pawn than me.

Coordinates should be reversed, I'm sorry about that, will change it now.

black will win

What about 2...Kg6 3.Ke5? I think nothing has changed if white plays 3.Ke5.

Thanks! What is the technique for such endgame? I know it's something obvious, probably the same thing I mentioned in first post, but I'd just like to be sure I played this endgame with correct plan.

As I imagined. Thanks for explanation, I thought there is a lot of complexity when you have the wrong bishop, but position seems quite simple (and won) now.