"the history of the present king of great britain is a history of repeated injuries and usurpations, all having in direct object the establishment of an absolute tyranny over these states."—declaration of independence the "injuries and usurpations" described in this quote are the colonists'

The injuries and the usurpation described in this quote are the colonists' RIGHTS, which had not been respected at all.  During the time the Americans were under the rule of Britain, the king of Britain kept making laws which were not favorable to the colonists at all and he did not allow them to have any say in the matters that concerned them. This made the colonists to decide that they are going to severe their relationship with Great Britain.