Question

Check the three statements that help Jefferson advance his argument for why the colonies should break free. The king has refused to pass laws that would help the colonists. The colonists would have more rights under a different monarchy. The colonists have repeatedly tried to work with the British government. The king has imposed taxes without consent from the colonists.

Answer 1

The King Has Refused To Pass Laws That Would Help The Colonists.
The Colonists Have Repeatedly Tried To Work The British Government.
The King Has Imposed Taxes Without Consent From The Colonists.

Answer 2

      The main arguments of Thomas Jefferson's Declaration of Independence relates to the colonial feeling that they were not represented by the British government, so an independent state would be more beneficial to the people, and their future laws would favor the common good, unlike those laws of the King, that only favored himself.

      These arguments are the following mentioned  along with the excerpts of the Declaration that supports them:

       The King has refused to pass laws that would help the colonists.

  "He has refused his Assent to Laws, the most wholesome and necessary for the public good.

  "He has forbidden his Governors to pass Laws of immediate and pressing importance, unless suspended in their operation till his Assent should be obtained; and when so suspended, he has utterly neglected to attend to them.

  "He has refused to pass other Laws for the accommodation of large districts of people, unless those people would relinquish the right of Representation in the Legislature, a right inestimable to them and formidable to tyrants only."

          The colonists have repeatedly tried to work with the British government.

   "(...)our repeated Petitions have been answered only by repeated injury. A Prince, whose character is thus marked by every act which may define a Tyrant, is unfit to be the ruler of a free people."

           The King has imposed taxes without consent from the colonists.

    "He has combined with others to subject us to a jurisdiction foreign to our constitution, and unacknowledged by our laws; giving his Assent to their Acts of pretended Legislation:(...)

    (...For imposing Taxes on us without our Consent(...)"