2012 AMC 10A Problems/Problem 4

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Problem 4

Let $\angle ABC = 24$° and $\angle ABD = 20°. What is the smallest possible degree measure for$\angle CBD?

$\textbf{(A)}\ 0\qquad\textbf{(B)}\ 2\qquad\textbf{(C)}\ 4\qquad\textbf{(D)}\ 6\qquad\textbf{(E)}\ 12$