Question

I can't solve this problem. I have a triangle, and the angle bisectors create three angles ε (96°) δ (120°) and ζ (144°). Knowing that these three together equal 360°, I must calculate α, β and γ of the triangle. Here is a diagram http://f.cl.ly/items/0n3G121I0p122L3R3P3r/large.jpeg