If you have cheated on your husband and were found out, you already know the anger he has about it. How do you deal with his anger, hurt and feeling of betrayal? Your best first step is to let him vent his anger; this will get it out of his system and help him in the long run.
You need to let him verbalize his anger so he can get it out of his system. If possible don't argue back, nothing good will come of it. If you let him do this he will be able to move past this stage and move on to the next and get closer to the point you can start saving your marriage.
Do not expect to make rapid progress to repairing your marriage after an affair. You will see that you make a little progress then lose some. But if you keep at it you will make things better.
You will see that when you think he is over the pain and anger, it can resurface again at times. But be aware that it will be less intense as time go by, so expect these bouts of anger to subside.
Many say the grieving someone may do after their spouse has cheated on them is similar to grieving due to the death of a spouse. Your husband will be feeling abandoned by his wife, he will feel alone, and wonder what he could have done to prevent the infidelity. Your benefit here is to see what kind of damage having an affair can cause.