Where are the keys for the doors inside the temple of azra?

Go through all gates, BE NOSYand go through everything. You will find the keys in the chests of the temple on all 3 floors. When you get to the boss fight him from the back or hide behind a pillar.

I assume you're talking about the doors on the second floor of the temple.

Once you spawn on the second floor just beyond the door from the first floor, you can see the door to the third floor straight ahead. Actually you need to climb down the stairs into an atrium, and up the stairs on the other side to the door to the third floor. There are also hallways to on either side, and the right-side hallway is locked. So once you're in the atrium, knock the skeleton warriors apart then proceed to the left hallway. Follow that to wherever it goes, killing off the skeletons, and you'll get to a room with a chest. Open it, take all or take your pick of the loot. There's a key there. Go back to the atrium. The key actually opens the sealed hallway to the right. Same drill; follow the hallway where it goes and destroy everyone in your way. The key in the chest in the room at the end of that hallway opens the door to the third level.

If you want to know how to open the doors on the third level, I believe it was covered in another question.

Good luck.