These lines from the declaration of independence are an example of the use of .

Lines are not given in the question, i guess you are talking about the following lines.

"And for the support of this Declaration, with a firm reliance on the protection of divine Providence, we mutually pledge to each other our Lives, our Fortunes and our sacred Honor."

These lines from the declaration of independence are an example of the use of Pathos.

Pathos is a way of expressing emotions, sorrows in the films or literature or awakening of emotions in the audience. So the above mentioned lines lie in this category.

is there answer chooses?