Problem

Source: V.A. Yasinsky Geometry Olympiad 2018 VIII-IX p6 [Ukraine]

Tags: geometry, Angle Chasing, midpoints, perpendicular



In the quadrilateral $ABCD$, the points $E, F$, and $K$ are midpoints of the $AB, BC, AD$ respectively. Known that $KE \perp AB, K F \perp BC$, and the angle $\angle ABC = 118^o$. Find $ \angle ACD$ (in degrees).