Let A B C be a triangle with \angle B A C=117^{\circ}. The angle bisector of \angle A B C intersects side A C at D. Suppose \triangle A B D \sim \triangle A C B. Compute the measure of \angle A B C, in degrees.
Let A B C be a triangle with \angle B A C=117^{\circ}. The angle bisector of \angle A B C intersects side A C at D. Suppose \triangle A B D \sim \triangle A C B. Compute the measure of \angle A B C, in degrees.