Why did colonists dislike the Proclamation of 1763?
The colonists IGNORED the Royal Proclamation of 1763 more than they simply "disliked" it. A number of aristocratic Americans, such as George Washington and Benjamin Franklin, had enormous claims to land in that area, and hoped to re-sell it for a profit. Since the Proclamation would have interfered with their right to do so, they simply ignored it.
Additionally, since the Proclamation put those who moved there away from any legal authority--somewhat as the Pilgrims experienced by landing at Plymouth--they were under no authority, as well as outside the reach of creditors. Many, such as Daniel Boone, moved to that area for no other reason than to avoid creditors, since the law would not reach that area. Also, with the population growing, the call of unclaimed land was to great to resist.
So the colonists were not really "angered," nor did this directly lead to the revolution. They simply ignored it, as they had earlier done with the Navigation Acts. The only people to be truly "angered" were the Indians who believed that the Proclamation would preclude further European settlement. They were of course disappointed.
There were two related reasons for this.
First, the colonists generally did not like being told what to do. The British government had been more or less leaving them alone and now it was telling them where they could and couldn't live. That annoyed the colonists.
Second, it prevented them from moving out beyond the Appalachians. This really angered the colonists because they felt they had won the right to that land by helping fight the French and Indian War. They felt that the British government cared more about appeasing the Indians than about rewarding them (the colonists) for their efforts.
So, the Proclamation of 1763 seemed like an infringement on colonists' rights, one which denied them the chance to enjoy the use of the land they had fought for.