Acute CODEGeometry Level 4
In triangle \(ABC\), \( \angle BAC = 36 ^ \circ\) and \( \angle ABC = 66 ^\circ\). Let \( \Gamma\), with center \( O \), be the incircle of triangle \(ABC\). Let points \(D\) and \( E\) be the points of tangency between \(\Gamma\) and lines \(AB\) and \( AC\), respectively. What is the acute angle between lines \(CO\) and \(DE\) (possibly extended)?