Problem

Source: OLCOMA Costa Rica National Olympiad, Final Round, 2014 3.1

Tags: geometry, angles, collinear



Consider the following figure where $AC$ is tangent to the circle of center $O$, $\angle BCD = 35^o$, $\angle BAD = 40^o$ and the measure of the minor arc $DE$ is $70^o$. Prove that points $B, O, E$ are collinear.