You begin the game inside a interrogation room. Use the right analog stick in order to lower the camera #1. Afterwards start moving the left stick left and right, causing Bruce to move on the chair #2 an eventually cause it to fall.
Wait for the TYGER guard to enter the room. When the distinctive symbols appear above his head #1, press Y for a counter attack #2. Don't worry if you won't succeed at first, as the game will let you try again. Unfortunately a second guard will eventually grab you and pull out of the room.
Wait for Bruce to get up and head toward and passage with a painted A letter #1. The other prisoner will eventually move away and you will be able to pass through #2.
You will have a short conversation with Jack Ryder #1, without a chance to influence it in any way. Wait for the gate to open and head forward. You should get attacked by two new prisoners. Use the previously learned counterattack in both cases, waiting for the icons to appear above the enemy's head #2 and pressing Y.
After eliminating both inmates, move towards Ryder. Start off by countering the third prisoner, who will attack you #1. Get rid of the last prisoner with a standard attack by pressing X #2.
Make sure you've knocked all the prisoners, approach Jack Ryder and press A #1. Another cutscene will play, ending with meeting Penguin. Just like with the first guard, wait for the right moment #2 and press Y for a counterattack. The Penguin will retreat, forcing you to deal with his men.
In the first part of the battle, focus mainly on countering the enemy attacks #1. One of such counters will result in breaking the handcuffs, allowing you to use the standard attacks #2 by pressing X. Get rid of all the enemies in the area.