MathDB
Find the angle.

Source:

August 18, 2016
geometry

Problem Statement

ABC\triangle ABC is an acute angled triangle. Perpendiculars drawn from its vertices on the opposite sides are ADAD, BEBE and CFCF. The line parallel to DF DF through EE meets BCBC at YY and BABA at XX. DFDF and CACA meet at ZZ. Circumcircle of XYZXYZ meets ACAC at SS. Given, B=33.\angle B=33 ^\circ. find the angle FSD\angle FSD with proof.