1999 Gauss 8 Problem 14

ABC is an isosceles triangle in which \angle A = 92^\circ. CB is extended to a point D. What is the size of \angle ABD?

\textbf{(A)}\ 88^\circ\quad \textbf{(B)}\ 44^\circ\quad \textbf{(C)}\ 92^\circ\quad \textbf{(D)}\ 136^\circ\quad \textbf{(E)}\ 158^\circ

If there are no answer choices shown, enter a numerical answer.

Full credit to this problem is given to the CEMC, you may view all Gauss contests here.