Acute CODE

Geometry Level 4

In triangle ABCABC, BAC=36 \angle BAC = 36 ^ \circ and ABC=66 \angle ABC = 66 ^\circ. Let Γ \Gamma, with center O O , be the incircle of triangle ABCABC. Let points DD and E E be the points of tangency between Γ\Gamma and lines ABAB and AC AC, respectively. What is the acute angle between lines COCO and DEDE (possibly extended)?

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