Problem 505. Right Triangle, Cevian, Sum of Segments, Angles.
Level: High School, College, SAT Prep.

The drawing shows a right triangle ABC with a cevian BD. If angle A = 2x, angle CBD = 3x, and AB = BC + CD, find x.
A cevian is a line segment in a triangle with one endpoint on a vertex and the other endpoint on the opposite side.