A student is using a protractor, as shown below, to find the measures of the interior angles of \(\triangle{ABC}\). Which of the following is closest to the degree measure of \(\angle{C}\) ?

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\(\angle{A}\) can me measured by taking the difference of \(150^\circ\) and \(115^\circ\).

$$ 150 - 115 = 35 $$

\(\angle{C}\) and \(\angle{A}\) must add up to 90.

$$ m\angle{C} + 35^\circ = 90^\circ $$ $$ m\angle{C} = 55^\circ \approx \boxed{54^\circ} $$