There is good anger and bad anger. Our Lord showed good anger in the Temple when, in the face of so much buying and selling, in the face of the corruption of his Father's house, he drove out all the sellers. But an example of bad anger, or certainly of resentment, is seen in today's Gospel, when a brother complains to Jesus that his other brother does not give him part of the inheritance. One notices the irritation in the speaker.
Jesus' response is curious: "Man, who has constituted me judge or arbiter among you?". So, if Jesus is not the judge of the living and the dead (cf. Matthew 25:31), the one to whom the Father entrusted all judgment (cf. John 5:22), who could be? But Christ speaks here as head and founder of the Church, as the one who leads us to eternal life, and in these functions his role is not that of arbiter of succession disputes. And this goes to the heart of the matter.
"And he said to them, 'Take heed, beware of all covetousness. For even if a man has plenty, his life does not depend on his possessions.'". And then he gives a parable about a man who precisely thought he did, who thought he could rest in his wealth. He didn't know that he would die that night and, as Jesus says , "Whose will what you have prepared be?". Christ then points out that "so is he who hoards for himself and is not rich before God.". The key lesson here is that we should aim for eternal treasures - life with God and the saints - and not for wealth on earth.
It is not worth getting angry over questions of propriety. If we are going to get angry about anything, with righteous indignation, we should get angry at seeing God insulted and religion corrupted. We should get angry, with righteous indignation leading to action, at seeing the poor exploited and abused. The rich man in the parable heaped his own destruction. By fighting against all forms of greed and seeking to live detached from worldly goods and generously concerned for those in need, we are storing up for ourselves, and for others, an abundance of divine mercy and blessings.