I would get very irritable when I would try to do a total fast in the first 3 days of Lent. Being angry at anything is counter productive. I think a more humble fast is more suited for my spiritual level. Being hungry is as distracting as being stuffed with low quality food.
The funny thing is that outside of the Church ordained fasts, I can go without food for 1-2 days and after a few hours, my hunger disappears. No anger issues there .
You feel anger because you subconsciously feel that something is being denied to you. It's your old, fallen, Adamic self fighting against the new.
These are the birth pangs of giving birth to the new man from above. "Verily, verily, I say unto thee, except a man be born again, he cannot see the kingdom of God."-John 3:3
"I find then a law, that, when I would do good, evil is present with me. or I delight in the law of God after the inward man: But I see another law in my members, warring against the law of my mind, and bringing me into captivity to the law of sin which is in my members. O wretched man that I am! who shall deliver me from the body of this death?" -Romans 7:21-24
You shouldn't break your fast because of that, on the contrary. It is a sign that you are on the right track and that the fast is doing what it is supposed to do. There is no purification nor transformation without the fire of temptation. Even the old alchemists knew that. With the exception of the first-3-days-of-Lent total fast (which is not recommended to beginners), you must not break the fast arbitrarily by your own will, but you can ask your priest to loosen it due to your objective circumstances. This is called ikonomia. Talk to your priest or spiritual father about this.
Hunger comes and goes in waves, and after a short time it stops. Do not give in to its temptation, but persevere and it will pass. Look for resources on intermittent fasting, they can help you. They helped me.
Anger is conquered by prayer. When you feel angry, do your daily prayer rule. Fasting is intended to go hand in hand with prayer, not without it. The saying that "the devil does not eat" says in full that "the devil does not eat, but
neither does he pray." And that's the main difference.
Giving alms can also help, as it awakens compassion that quells anger. You cannot feel anger and compassion at the same time. Negative emotions are overcome by practicing their opposing virtues.