<image>(2016 Spring • Wuhou District Final Exam) As shown in the figure, in the right triangle \( \triangle ABC \), \( \angle A = 90^\circ \), the perpendicular bisector of \( BC \) intersects \( AB \) at \( E \) with foot \( D \). Connecting \( CE \), if \( CE \) bisects \( \angle ACB \), then the measure of \( \angle B \) is ____.